727526016 has 512 divisors, whose sum is σ = 2731968000. Its totient is φ = 185794560.

The previous prime is 727525969. The next prime is 727526021. The reversal of 727526016 is 610625727.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11926626 + ... + 11926686.

It is an arithmetic number, because the mean of its divisors is an integer number (5335875).

Almost surely, 2^727526016 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 727526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

727526016 is an abundant number, since it is smaller than the sum of its proper divisors (2004441984).

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

727526016 is a wasteful number, since it uses less digits than its factorization.

727526016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 727526016 is about 26972.6901884109. The cubic root of 727526016 is about 899.3930129439.

The spelling of 727526016 in words is "seven hundred twenty-seven million, five hundred twenty-six thousand, sixteen".