73638560 has 48 divisors (see below), whose sum is σ = 184211496. Its totient is φ = 27721728.

The previous prime is 73638541. The next prime is 73638589. The reversal of 73638560 is 6583637.

It can be written as a sum of positive squares in 4 ways, for example, as 66520336 + 7118224 = 8156^2 + 2668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10817 + ... + 16256.

Almost surely, 2^73638560 is an apocalyptic number.

It is an amenable number.

73638560 is an abundant number, since it is smaller than the sum of its proper divisors (110572936).

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

73638560 is a wasteful number, since it uses less digits than its factorization.

73638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27105 (or 27097 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 73638560 is about 8581.2912781236. The cubic root of 73638560 is about 419.1489949209.

The spelling of 73638560 in words is "seventy-three million, six hundred thirty-eight thousand, five hundred sixty".