727956000 has 288 divisors, whose sum is σ = 2628361008. Its totient is φ = 190771200.

The previous prime is 727955959. The next prime is 727956011. The reversal of 727956000 is 659727.

It can be written as a sum of positive squares in 8 ways, for example, as 898704 + 727057296 = 948^2 + 26964^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2627862 + ... + 2628138.

Almost surely, 2^727956000 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 727956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314180504).

727956000 is an abundant number, since it is smaller than the sum of its proper divisors (1900405008).

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

727956000 is a wasteful number, since it uses less digits than its factorization.

727956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 727956000 is about 26980.6597398952. The cubic root of 727956000 is about 899.5701651164.

The spelling of 727956000 in words is "seven hundred twenty-seven million, nine hundred fifty-six thousand".