72352366152192 has 1280 divisors, whose sum is σ = 267335270400000. Its totient is φ = 18854159892480.

The previous prime is 72352366152181. The next prime is 72352366152203. The reversal of 72352366152192 is 29125166325327.

72352366152192 is a `hidden beast` number, since 7 + 2 + 3 + 5 + 2 + 3 + 6 + 615 + 2 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72352366152181) and next prime (72352366152203).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11342270859 + ... + 11342277237.

It is an arithmetic number, because the mean of its divisors is an integer number (208855680000).

Almost surely, 2^{72352366152192} is an apocalyptic number.

72352366152192 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 72352366152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133667635200000).

72352366152192 is an abundant number, since it is smaller than the sum of its proper divisors (194982904247808).

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

72352366152192 is a wasteful number, since it uses less digits than its factorization.

72352366152192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6640 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 72352366152192 in words is "seventy-two trillion, three hundred fifty-two billion, three hundred sixty-six million, one hundred fifty-two thousand, one hundred ninety-two".