Search a number
-
+
72374300 = 22521514793
BaseRepresentation
bin1000101000001…
…01100000011100
312001011222212122
410110011200130
5122011434200
611103122112
71536112535
oct424054034
9161158778
1072374300
1137942979
12202a3338
1311cc043b
14987d68c
156549385
hex450581c

72374300 has 36 divisors (see below), whose sum is σ = 158125296. Its totient is φ = 28752000.

The previous prime is 72374299. The next prime is 72374303. The reversal of 72374300 is 347327.

It is a self number, because there is not a number n which added to its sum of digits gives 72374300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72374303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12704 + ... + 17496.

Almost surely, 272374300 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 72374300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79062648).

72374300 is an abundant number, since it is smaller than the sum of its proper divisors (85750996).

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

72374300 is a wasteful number, since it uses less digits than its factorization.

72374300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 72374300 is about 8507.3086225903. The cubic root of 72374300 is about 416.7364220992.

The spelling of 72374300 in words is "seventy-two million, three hundred seventy-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 4793 7550 9586 15100 19172 23965 47930 95860 119825 239650 479300 723743 1447486 2894972 3618715 7237430 14474860 18093575 36187150 72374300