Search a number
-
+
72941652 = 22327377823
BaseRepresentation
bin1000101100100…
…00000001010100
312002020211010200
410112100001110
5122133113102
611123220500
71543664610
oct426200124
9162224120
1072941652
11381a0163
1220517730
131215b754
14998a340
15660c51c
hex4590054

72941652 has 72 divisors (see below), whose sum is σ = 216443136. Its totient is φ = 20274624.

The previous prime is 72941651. The next prime is 72941653. The reversal of 72941652 is 25614927.

It is an interprime number because it is at equal distance from previous prime (72941651) and next prime (72941653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72941651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5413 + ... + 13235.

Almost surely, 272941652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72941652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108221568).

72941652 is an abundant number, since it is smaller than the sum of its proper divisors (143501484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72941652 is a wasteful number, since it uses less digits than its factorization.

72941652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7872 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 72941652 is about 8540.5885043128. The cubic root of 72941652 is about 417.8225401483.

The spelling of 72941652 in words is "seventy-two million, nine hundred forty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 7823 9324 15646 23469 31292 46938 54761 70407 93876 109522 140814 164283 219044 281628 289451 328566 492849 578902 657132 868353 985698 1157804 1736706 1971396 2026157 2605059 3473412 4052314 5210118 6078471 8104628 10420236 12156942 18235413 24313884 36470826 72941652