73512900 has 144 divisors (see below), whose sum is σ = 248942400. Its totient is φ = 18558720.

The previous prime is 73512863. The next prime is 73512911. The reversal of 73512900 is 921537.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 50584 + ... + 52016.

Almost surely, 2^73512900 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 73512900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124471200).

73512900 is an abundant number, since it is smaller than the sum of its proper divisors (175429500).

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

73512900 is a wasteful number, since it uses less digits than its factorization.

73512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 73512900 is about 8573.9664100112. The cubic root of 73512900 is about 418.9104412305.

The spelling of 73512900 in words is "seventy-three million, five hundred twelve thousand, nine hundred".