73596960 has 72 divisors (see below), whose sum is σ = 251154540. Its totient is φ = 19625472.

The previous prime is 73596949. The next prime is 73596973. The reversal of 73596960 is 6969537.

It can be written as a sum of positive squares in 2 ways, for example, as 69956496 + 3640464 = 8364^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24115 + ... + 26994.

Almost surely, 2^73596960 is an apocalyptic number.

It is an amenable number.

73596960 is an abundant number, since it is smaller than the sum of its proper divisors (177557580).

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

73596960 is a wasteful number, since it uses less digits than its factorization.

73596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51130 (or 51119 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 73596960 is about 8578.8670580677. The cubic root of 73596960 is about 419.0700513047.

The spelling of 73596960 in words is "seventy-three million, five hundred ninety-six thousand, nine hundred sixty".