73632640 has 64 divisors (see below), whose sum is σ = 177896160. Its totient is φ = 29140992.

The previous prime is 73632599. The next prime is 73632659. The reversal of 73632640 is 4623637.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 65362 + ... + 66478.

Almost surely, 2^73632640 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 73632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88948080).

73632640 is an abundant number, since it is smaller than the sum of its proper divisors (104263520).

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

73632640 is a wasteful number, since it uses less digits than its factorization.

73632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 73632640 is about 8580.9463347582. The cubic root of 73632640 is about 419.1377624518.

The spelling of 73632640 in words is "seventy-three million, six hundred thirty-two thousand, six hundred forty".