73189264 has 80 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 33408000.

The previous prime is 73189229. The next prime is 73189283. The reversal of 73189264 is 46298137.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199794 + ... + 1199854.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^73189264 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 73189264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

73189264 is an abundant number, since it is smaller than the sum of its proper divisors (81800816).

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

73189264 is a wasteful number, since it uses less digits than its factorization.

73189264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 73189264 is about 8555.0724134866. The cubic root of 73189264 is about 418.2947944512.

The spelling of 73189264 in words is "seventy-three million, one hundred eighty-nine thousand, two hundred sixty-four".