72917952 has 56 divisors (see below), whose sum is σ = 199168512. Its totient is φ = 23520000.

The previous prime is 72917941. The next prime is 72917963. The reversal of 72917952 is 25971927.

It is an interprime number because it is at equal distance from previous prime (72917941) and next prime (72917963).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174 + ... + 12077.

Almost surely, 2^72917952 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 72917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99584256).

72917952 is an abundant number, since it is smaller than the sum of its proper divisors (126250560).

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

72917952 is a wasteful number, since it uses less digits than its factorization.

72917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12297 (or 12287 counting only the distinct ones).

The product of its digits is 79380, while the sum is 42.

The square root of 72917952 is about 8539.2008993816. The cubic root of 72917952 is about 417.7772826646. Note that the first 3 decimals are identical.

It can be divided in two parts, 729 and 17952, that added together give a palindrome (18681).

The spelling of 72917952 in words is "seventy-two million, nine hundred seventeen thousand, nine hundred fifty-two".