74400672 has 24 divisors (see below), whose sum is σ = 195302016. Its totient is φ = 24800192.

The previous prime is 74400643. The next prime is 74400679. The reversal of 74400672 is 27600447.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (74400679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 387408 + ... + 387599.

It is an arithmetic number, because the mean of its divisors is an integer number (8137584).

Almost surely, 2^74400672 is an apocalyptic number.

It is an amenable number.

74400672 is an abundant number, since it is smaller than the sum of its proper divisors (120901344).

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

74400672 is a wasteful number, since it uses less digits than its factorization.

74400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775020 (or 775012 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 74400672 is about 8625.5824151184. The cubic root of 74400672 is about 420.5900097772.

The spelling of 74400672 in words is "seventy-four million, four hundred thousand, six hundred seventy-two".