715917312 has 288 divisors, whose sum is σ = 2352823200. Its totient is φ = 214917120.

The previous prime is 715917253. The next prime is 715917313. The reversal of 715917312 is 213719517.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (715917313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690763 + ... + 6690869.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2^715917312 is an apocalyptic number.

715917312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176411600).

715917312 is an abundant number, since it is smaller than the sum of its proper divisors (1636905888).

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

715917312 is a wasteful number, since it uses less digits than its factorization.

715917312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 715917312 is about 26756.6311780837. The cubic root of 715917312 is about 894.5836466307.

The spelling of 715917312 in words is "seven hundred fifteen million, nine hundred seventeen thousand, three hundred twelve".