727252560 has 160 divisors (see below), whose sum is σ = 2586024960. Its totient is φ = 187660800.

The previous prime is 727252523. The next prime is 727252601. The reversal of 727252560 is 65252727.

727252560 is a `hidden beast` number, since 7 + 2 + 72 + 525 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61530 + ... + 72390.

It is an arithmetic number, because the mean of its divisors is an integer number (16162656).

Almost surely, 2^727252560 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 727252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293012480).

727252560 is an abundant number, since it is smaller than the sum of its proper divisors (1858772400).

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

727252560 is a wasteful number, since it uses less digits than its factorization.

727252560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10902 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 727252560 is about 26967.6205846938. The cubic root of 727252560 is about 899.2803135438.

The spelling of 727252560 in words is "seven hundred twenty-seven million, two hundred fifty-two thousand, five hundred sixty".