73472800 has 36 divisors (see below), whose sum is σ = 179367426. Its totient is φ = 29388800.

The previous prime is 73472783. The next prime is 73472813. The reversal of 73472800 is 827437.

It can be written as a sum of positive squares in 3 ways, for example, as 64448784 + 9024016 = 8028^2 + 3004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45121 + ... + 46720.

Almost surely, 2^73472800 is an apocalyptic number.

It is an amenable number.

73472800 is an abundant number, since it is smaller than the sum of its proper divisors (105894626).

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

73472800 is a wasteful number, since it uses less digits than its factorization.

73472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91861 (or 91848 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 73472800 is about 8571.6276167365. The cubic root of 73472800 is about 418.8342579393.

The spelling of 73472800 in words is "seventy-three million, four hundred seventy-two thousand, eight hundred".