72151158941568 has 512 divisors, whose sum is σ = 248251018060800. Its totient is φ = 20203356856320.

The previous prime is 72151158941489. The next prime is 72151158941579. The reversal of 72151158941568 is 86514985115127.

72151158941568 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 1 + 1 + 589 + 41 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×72151158941568² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408683971 + ... + 408860477.

It is an arithmetic number, because the mean of its divisors is an integer number (484865269650).

Almost surely, 2^{72151158941568} 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 72151158941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124125509030400).

72151158941568 is an abundant number, since it is smaller than the sum of its proper divisors (176099859119232).

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

72151158941568 is a wasteful number, since it uses less digits than its factorization.

72151158941568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176875 (or 176857 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 63.

The spelling of 72151158941568 in words is "seventy-two trillion, one hundred fifty-one billion, one hundred fifty-eight million, nine hundred forty-one thousand, five hundred sixty-eight".