715242159072 has 480 divisors, whose sum is σ = 2485977145344. Its totient is φ = 197410867200.

The previous prime is 715242159001. The next prime is 715242159089. The reversal of 715242159072 is 270951242517.

715242159072 is a `hidden beast` number, since 7 + 1 + 52 + 4 + 2 + 1 + 590 + 7 + 2 = 666.

It is a super-2 number, since 2×715242159072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 581024697 + ... + 581025927.

Almost surely, 2^715242159072 is an apocalyptic number.

715242159072 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 715242159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242988572672).

715242159072 is an abundant number, since it is smaller than the sum of its proper divisors (1770734986272).

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

715242159072 is a wasteful number, since it uses less digits than its factorization.

715242159072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 715242159072 in words is "seven hundred fifteen billion, two hundred forty-two million, one hundred fifty-nine thousand, seventy-two".