727315056 has 240 divisors, whose sum is σ = 2305185792. Its totient is φ = 212544000.

The previous prime is 727315049. The next prime is 727315067. The reversal of 727315056 is 650513727.

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

It is a self number, because there is not a number n which added to its sum of digits gives 727315056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4816581 + ... + 4816731.

Almost surely, 2^727315056 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 727315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152592896).

727315056 is an abundant number, since it is smaller than the sum of its proper divisors (1577870736).

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

727315056 is a wasteful number, since it uses less digits than its factorization.

727315056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 727315056 is about 26968.7792827187. The cubic root of 727315056 is about 899.3060725056.

The spelling of 727315056 in words is "seven hundred twenty-seven million, three hundred fifteen thousand, fifty-six".