715412016 has 180 divisors, whose sum is σ = 2317620760. Its totient is φ = 205286400.

The previous prime is 715411981. The next prime is 715412059. The reversal of 715412016 is 610214517.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329976 + ... + 332136.

Almost surely, 2^715412016 is an apocalyptic number.

715412016 is a gapful number since it is divisible by the number (76) 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 715412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158810380).

715412016 is an abundant number, since it is smaller than the sum of its proper divisors (1602208744).

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

715412016 is a wasteful number, since it uses less digits than its factorization.

715412016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 715412016 is about 26747.1870670544. The cubic root of 715412016 is about 894.3731307325.

The spelling of 715412016 in words is "seven hundred fifteen million, four hundred twelve thousand, sixteen".