727056000 has 768 divisors, whose sum is σ = 3127662720. Its totient is φ = 165888000.

The previous prime is 727055981. The next prime is 727056023. The reversal of 727056000 is 650727.

It is a super-2 number, since 2×727056000² = 1057220854272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42767992 + ... + 42768008.

Almost surely, 2^727056000 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 727056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563831360).

727056000 is an abundant number, since it is smaller than the sum of its proper divisors (2400606720).

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

727056000 is a wasteful number, since it uses less digits than its factorization.

727056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 727056000 is about 26963.9759679466. The cubic root of 727056000 is about 899.1992878335.

The spelling of 727056000 in words is "seven hundred twenty-seven million, fifty-six thousand".