72965472 has 96 divisors (see below), whose sum is σ = 204019200. Its totient is φ = 22768128.

The previous prime is 72965461. The next prime is 72965489. The reversal of 72965472 is 27456927.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198633 + ... + 198999.

It is an arithmetic number, because the mean of its divisors is an integer number (2125200).

Almost surely, 2^72965472 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 72965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102009600).

72965472 is an abundant number, since it is smaller than the sum of its proper divisors (131053728).

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

72965472 is a wasteful number, since it uses less digits than its factorization.

72965472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 72965472 is about 8541.9829079670. The cubic root of 72965472 is about 417.8680169070.

It can be divided in two parts, 72965 and 472, that added together give a palindrome (73437).

The spelling of 72965472 in words is "seventy-two million, nine hundred sixty-five thousand, four hundred seventy-two".