72407800 has 48 divisors (see below), whose sum is σ = 169085160. Its totient is φ = 28836480.

The previous prime is 72407773. The next prime is 72407813. The reversal of 72407800 is 870427.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54747 + ... + 56053.

Almost surely, 2^72407800 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 72407800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84542580).

72407800 is an abundant number, since it is smaller than the sum of its proper divisors (96677360).

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

72407800 is a wasteful number, since it uses less digits than its factorization.

72407800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 72407800 is about 8509.2772901111. The cubic root of 72407800 is about 416.8007106505.

The spelling of 72407800 in words is "seventy-two million, four hundred seven thousand, eight hundred".