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72039852 = 223219110477
BaseRepresentation
bin1000100101100…
…11110110101100
312000120000002200
410102303312230
5121420233402
611052021500
71533220503
oct422636654
9160500080
1072039852
1137734675
1220161890
1311c04141
1497d383a
1564d021c
hex44b3dac

72039852 has 36 divisors (see below), whose sum is σ = 183071616. Its totient is φ = 23885280.

The previous prime is 72039827. The next prime is 72039859. The reversal of 72039852 is 25893027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 (72039859) 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, 1638 + ... + 12114.

Almost surely, 272039852 is an apocalyptic number.

It is an amenable number.

72039852 is an abundant number, since it is smaller than the sum of its proper divisors (111031764).

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

72039852 is a wasteful number, since it uses less digits than its factorization.

72039852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10673 counting only the distinct ones).

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

The square root of 72039852 is about 8487.6293510026. The cubic root of 72039852 is about 416.0935055465.

The spelling of 72039852 in words is "seventy-two million, thirty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 10477 20954 31431 41908 62862 94293 125724 188586 377172 2001107 4002214 6003321 8004428 12006642 18009963 24013284 36019926 72039852