727612416 has 88 divisors (see below), whose sum is σ = 2154917840. Its totient is φ = 242528256.

The previous prime is 727612373. The next prime is 727612421. The reversal of 727612416 is 614216727.

727612416 is a `hidden beast` number, since 7 + 27 + 612 + 4 + 16 = 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 7 ways as a sum of consecutive naturals, for example, 14490 + ... + 40806.

Almost surely, 2^727612416 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 727612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077458920).

727612416 is an abundant number, since it is smaller than the sum of its proper divisors (1427305424).

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

727612416 is a wasteful number, since it uses less digits than its factorization.

727612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26346 (or 26322 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 727612416 is about 26974.2917608600. The cubic root of 727612416 is about 899.4286150982.

The spelling of 727612416 in words is "seven hundred twenty-seven million, six hundred twelve thousand, four hundred sixteen".