727324416 has 216 divisors, whose sum is σ = 2581735520. Its totient is φ = 191766528.

The previous prime is 727324393. The next prime is 727324439. The reversal of 727324416 is 614423727.

It is an interprime number because it is at equal distance from previous prime (727324393) and next prime (727324439).

It is a super-2 number, since 2×727324416² = 1058001612219482112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207930 + ... + 211398.

Almost surely, 2^727324416 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 727324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290867760).

727324416 is an abundant number, since it is smaller than the sum of its proper divisors (1854411104).

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

727324416 is a wasteful number, since it uses less digits than its factorization.

727324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3494 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 727324416 is about 26968.9528161551. The cubic root of 727324416 is about 899.3099302876.

The spelling of 727324416 in words is "seven hundred twenty-seven million, three hundred twenty-four thousand, four hundred sixteen".