715392 has 96 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 228096.

The previous prime is 715373. The next prime is 715397. The reversal of 715392 is 293517.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 715392.

It is not an unprimeable number, because it can be changed into a prime (715397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31093 + ... + 31115.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

715392 is a Friedman number, since it can be written as 92*(7-1^3)^5, using all its digits and the basic arithmetic operations.

2⁷¹⁵³⁹² is an apocalyptic number.

715392 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 715392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

715392 is an abundant number, since it is smaller than the sum of its proper divisors (1512288).

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

715392 is an equidigital number, since it uses as much as digits as its factorization.

715392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 715392 is about 845.8084889619. The cubic root of 715392 is about 89.4364789647.

Subtracting from 715392 its reverse (293517), we obtain a cube (421875 = 75³).

The spelling of 715392 in words is "seven hundred fifteen thousand, three hundred ninety-two".