72581521416192 has 1008 divisors, whose sum is σ = 234045315154560. Its totient is φ = 22468359094272.

The previous prime is 72581521416163. The next prime is 72581521416197. The reversal of 72581521416192 is 29161412518527.

72581521416192 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 1 + 5 + 2 + 14 + 1 + 619 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72581521416197) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45448666338 + ... + 45448667934.

Almost surely, 2^{72581521416192} is an apocalyptic number.

72581521416192 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 72581521416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117022657577280).

72581521416192 is an abundant number, since it is smaller than the sum of its proper divisors (161463793738368).

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

72581521416192 is an equidigital number, since it uses as much as digits as its factorization.

72581521416192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1698 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 72581521416192 in words is "seventy-two trillion, five hundred eighty-one billion, five hundred twenty-one million, four hundred sixteen thousand, one hundred ninety-two".