72152349877872 has 320 divisors, whose sum is σ = 228082269657600. Its totient is φ = 21656289669120.

The previous prime is 72152349877859. The next prime is 72152349877901. The reversal of 72152349877872 is 27877894325127.

72152349877872 is a `hidden beast` number, since 7 + 2 + 1 + 52 + 3 + 498 + 7 + 7 + 87 + 2 = 666.

It is a super-2 number, since 2×72152349877872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 72152349877872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4895992488 + ... + 4896007224.

It is an arithmetic number, because the mean of its divisors is an integer number (712757092680).

Almost surely, 2^{72152349877872} is an apocalyptic number.

72152349877872 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 72152349877872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114041134828800).

72152349877872 is an abundant number, since it is smaller than the sum of its proper divisors (155929919779728).

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

72152349877872 is a wasteful number, since it uses less digits than its factorization.

72152349877872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24501 (or 24489 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 72152349877872 in words is "seventy-two trillion, one hundred fifty-two billion, three hundred forty-nine million, eight hundred seventy-seven thousand, eight hundred seventy-two".