72499752 has 64 divisors (see below), whose sum is σ = 216888000. Its totient is φ = 22306752.

The previous prime is 72499729. The next prime is 72499771. The reversal of 72499752 is 25799427.

It is a junction number, because it is equal to n+sod(n) for n = 72499698 and 72499707.

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, 10102 + ... + 15717.

It is an arithmetic number, because the mean of its divisors is an integer number (3388875).

Almost surely, 2^72499752 is an apocalyptic number.

72499752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72499752 is an abundant number, since it is smaller than the sum of its proper divisors (144388248).

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

72499752 is a wasteful number, since it uses less digits than its factorization.

72499752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25847 (or 25837 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 72499752 is about 8514.6786198893. The cubic root of 72499752 is about 416.9770703193.

The spelling of 72499752 in words is "seventy-two million, four hundred ninety-nine thousand, seven hundred fifty-two".