731323665072 has 360 divisors, whose sum is σ = 2768828290592. Its totient is φ = 175341957120.

The previous prime is 731323665053. The next prime is 731323665073. The reversal of 731323665072 is 270566323137.

731323665072 is a `hidden beast` number, since 7 + 3 + 132 + 3 + 6 + 6 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (731323665073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1354968 + ... + 1816200.

Almost surely, 2^731323665072 is an apocalyptic number.

731323665072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731323665072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384414145296).

731323665072 is an abundant number, since it is smaller than the sum of its proper divisors (2037504625520).

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

731323665072 is a wasteful number, since it uses less digits than its factorization.

731323665072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461289 (or 461269 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 731323665072 in words is "seven hundred thirty-one billion, three hundred twenty-three million, six hundred sixty-five thousand, seventy-two".