715972320 has 432 divisors, whose sum is σ = 2901815280. Its totient is φ = 160247808.

The previous prime is 715972297. The next prime is 715972321. The reversal of 715972320 is 23279517.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715972321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5150811 + ... + 5150949.

It is an arithmetic number, because the mean of its divisors is an integer number (6717165).

Almost surely, 2^715972320 is an apocalyptic number.

715972320 is a gapful number since it is divisible by the number (70) 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 715972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450907640).

715972320 is an abundant number, since it is smaller than the sum of its proper divisors (2185842960).

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

715972320 is a wasteful number, since it uses less digits than its factorization.

715972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 715972320 is about 26757.6590904361. The cubic root of 715972320 is about 894.6065580276.

The spelling of 715972320 in words is "seven hundred fifteen million, nine hundred seventy-two thousand, three hundred twenty".