727488000 has 320 divisors, whose sum is σ = 2693845440. Its totient is φ = 193536000.

The previous prime is 727487993. The next prime is 727488029. The reversal of 727488000 is 884727.

It is a tau number, because it is divible by the number of its divisors (320).

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, 1727790 + ... + 1728210.

It is an arithmetic number, because the mean of its divisors is an integer number (8418267).

Almost surely, 2^727488000 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 727488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346922720).

727488000 is an abundant number, since it is smaller than the sum of its proper divisors (1966357440).

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

727488000 is an equidigital number, since it uses as much as digits as its factorization.

727488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 727488000 is about 26971.9854664057. The cubic root of 727488000 is about 899.3773471031.

The spelling of 727488000 in words is "seven hundred twenty-seven million, four hundred eighty-eight thousand".