73312900 has 36 divisors (see below), whose sum is σ = 159716340. Its totient is φ = 29209600.

The previous prime is 73312871. The next prime is 73312913. The reversal of 73312900 is 921337.

73312900 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 73034116 = 528^2 + 8546^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

73312900 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26796 + ... + 29404.

It is an arithmetic number, because the mean of its divisors is an integer number (4436565).

Almost surely, 2^73312900 is an apocalyptic number.

It is an amenable number.

73312900 is an abundant number, since it is smaller than the sum of its proper divisors (86403440).

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

73312900 is a wasteful number, since it uses less digits than its factorization.

73312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 73312900 is about 8562.2952530265. The cubic root of 73312900 is about 418.5301987480.

The spelling of 73312900 in words is "seventy-three million, three hundred twelve thousand, nine hundred".