72865920 has 64 divisors (see below), whose sum is σ = 232266240. Its totient is φ = 19430400.

The previous prime is 72865901. The next prime is 72865921. The reversal of 72865920 is 2956827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (72865921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17056 + ... + 20895.

It is an arithmetic number, because the mean of its divisors is an integer number (3629160).

Almost surely, 2^72865920 is an apocalyptic number.

It is an amenable number.

72865920 is an abundant number, since it is smaller than the sum of its proper divisors (159400320).

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

72865920 is a wasteful number, since it uses less digits than its factorization.

72865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37973 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72865920 is about 8536.1537005844. The cubic root of 72865920 is about 417.6778880277.

The spelling of 72865920 in words is "seventy-two million, eight hundred sixty-five thousand, nine hundred twenty".