73612960 has 24 divisors (see below), whose sum is σ = 173910996. Its totient is φ = 29445120.

The previous prime is 73612937. The next prime is 73612963. The reversal of 73612960 is 6921637.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 3254416 = 8388^2 + 1804^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73612963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229881 + ... + 230200.

Almost surely, 2^73612960 is an apocalyptic number.

It is an amenable number.

73612960 is an abundant number, since it is smaller than the sum of its proper divisors (100298036).

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

73612960 is a wasteful number, since it uses less digits than its factorization.

73612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460096 (or 460088 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 73612960 is about 8579.7995314576. The cubic root of 73612960 is about 419.1004177536.

The spelling of 73612960 in words is "seventy-three million, six hundred twelve thousand, nine hundred sixty".