73632960 has 168 divisors, whose sum is σ = 260488176. Its totient is φ = 19077120.

The previous prime is 73632929. The next prime is 73633033. The reversal of 73632960 is 6923637.

73632960 is a `hidden beast` number, since 7 + 363 + 296 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106215 + ... + 106905.

Almost surely, 2^73632960 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 73632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130244088).

73632960 is an abundant number, since it is smaller than the sum of its proper divisors (186855216).

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

73632960 is a wasteful number, since it uses less digits than its factorization.

73632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 73632960 is about 8580.9649807000. The cubic root of 73632960 is about 419.1383696277.

The spelling of 73632960 in words is "seventy-three million, six hundred thirty-two thousand, nine hundred sixty".