72400888 has 32 divisors (see below), whose sum is σ = 156204000. Its totient is φ = 30817152.

The previous prime is 72400883. The next prime is 72400891. The reversal of 72400888 is 88800427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72400883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4006 + ... + 12682.

It is an arithmetic number, because the mean of its divisors is an integer number (4881375).

Almost surely, 2^72400888 is an apocalyptic number.

It is an amenable number.

72400888 is an abundant number, since it is smaller than the sum of its proper divisors (83803112).

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

72400888 is a wasteful number, since it uses less digits than its factorization.

72400888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 72400888 is about 8508.8711354680. The cubic root of 72400888 is about 416.7874477230.

It can be divided in two parts, 72 and 400888, that added together give a triangular number (400960 = T₈₉₅).

The spelling of 72400888 in words is "seventy-two million, four hundred thousand, eight hundred eighty-eight".