715008 has 108 divisors (see below), whose sum is σ = 2330160. Its totient is φ = 193536.

The previous prime is 714991. The next prime is 715019. The reversal of 715008 is 800517.

It is a happy number.

It is a super-2 number, since 2×715008² = 1022472880128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

715008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37623 + ... + 37641.

2⁷¹⁵⁰⁰⁸ 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 715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165080).

715008 is an abundant number, since it is smaller than the sum of its proper divisors (1615152).

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

715008 is a wasteful number, since it uses less digits than its factorization.

715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 715008 is about 845.5814567503. The cubic root of 715008 is about 89.4204738679.

The spelling of 715008 in words is "seven hundred fifteen thousand, eight".