732864000 has 320 divisors, whose sum is σ = 2665757952. Its totient is φ = 177152000.

The previous prime is 732863981. The next prime is 732864001. The reversal of 732864000 is 468237.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (732864001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111827 + ... + 2112173.

Almost surely, 2^732864000 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 732864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332878976).

732864000 is an abundant number, since it is smaller than the sum of its proper divisors (1932893952).

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

732864000 is a wasteful number, since it uses less digits than its factorization.

732864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 732864000 is about 27071.4609875418. The cubic root of 732864000 is about 901.5873222643.

The spelling of 732864000 in words is "seven hundred thirty-two million, eight hundred sixty-four thousand".