72352464 has 40 divisors (see below), whose sum is σ = 191966880. Its totient is φ = 23465088.

The previous prime is 72352447. The next prime is 72352499. The reversal of 72352464 is 46425327.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18594 + ... + 22145.

It is an arithmetic number, because the mean of its divisors is an integer number (4799172).

Almost surely, 2^72352464 is an apocalyptic number.

72352464 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

72352464 is an abundant number, since it is smaller than the sum of its proper divisors (119614416).

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

72352464 is a wasteful number, since it uses less digits than its factorization.

72352464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40787 (or 40781 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 72352464 is about 8506.0251586743. The cubic root of 72352464 is about 416.6945067976.

The spelling of 72352464 in words is "seventy-two million, three hundred fifty-two thousand, four hundred sixty-four".