726627312 has 60 divisors (see below), whose sum is σ = 2088523320. Its totient is φ = 235661184.

The previous prime is 726627301. The next prime is 726627323. The reversal of 726627312 is 213726627.

It is a happy number.

726627312 is a `hidden beast` number, since 7 + 26 + 627 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (726627301) and next prime (726627323).

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 11 ways as a sum of consecutive naturals, for example, 62862 + ... + 73517.

It is an arithmetic number, because the mean of its divisors is an integer number (34808722).

Almost surely, 2^726627312 is an apocalyptic number.

726627312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

726627312 is an abundant number, since it is smaller than the sum of its proper divisors (1361896008).

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

726627312 is a wasteful number, since it uses less digits than its factorization.

726627312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136430 (or 136421 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 726627312 is about 26956.0255230626. The cubic root of 726627312 is about 899.0225239479.

The spelling of 726627312 in words is "seven hundred twenty-six million, six hundred twenty-seven thousand, three hundred twelve".