72952567680000 has 440 divisors, whose sum is σ = 243948363785280. Its totient is φ = 19376384000000.

The previous prime is 72952567679983. The next prime is 72952567680043. The reversal of 72952567680000 is 8676525927.

It is a super-2 number, since 2×72952567680000² (a number of 29 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 481844311 + ... + 481995689.

It is an arithmetic number, because the mean of its divisors is an integer number (554428099512).

Almost surely, 2^{72952567680000} 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 72952567680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121974181892640).

72952567680000 is an abundant number, since it is smaller than the sum of its proper divisors (170995796105280).

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

72952567680000 is a wasteful number, since it uses less digits than its factorization.

72952567680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151673 (or 151640 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 72952567680000 in words is "seventy-two trillion, nine hundred fifty-two billion, five hundred sixty-seven million, six hundred eighty thousand".