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72699012 = 22331813719
BaseRepresentation
bin1000101010101…
…00110010000100
312001210111022000
410111110302010
5122102332022
611114105300
71541634321
oct425246204
9161714260
1072699012
1138044931
122041b230
13120a5189
149925b48
1565b06ac
hex4554c84

72699012 has 48 divisors (see below), whose sum is σ = 189571200. Its totient is φ = 24092640.

The previous prime is 72698981. The next prime is 72699013. The reversal of 72699012 is 21099627.

It is a super-2 number, since 2×726990122 = 10570292691552288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72699013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17689 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 272699012 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 72699012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94785600).

72699012 is an abundant number, since it is smaller than the sum of its proper divisors (116872188).

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

72699012 is a wasteful number, since it uses less digits than its factorization.

72699012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 72699012 is about 8526.3715612211. The cubic root of 72699012 is about 417.3587306951.

The spelling of 72699012 in words is "seventy-two million, six hundred ninety-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 3719 4887 6516 7438 9774 11157 14876 19548 22314 33471 44628 66942 100413 133884 200826 401652 673139 1346278 2019417 2692556 4038834 6058251 8077668 12116502 18174753 24233004 36349506 72699012