72621179050752 has 576 divisors, whose sum is σ = 227349521817600. Its totient is φ = 22820019425280.

The previous prime is 72621179050697. The next prime is 72621179050781. The reversal of 72621179050752 is 25705097112627.

72621179050752 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 11 + 79 + 0 + 507 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 3455014899 + ... + 3455035917.

Almost surely, 2^{72621179050752} is an apocalyptic number.

72621179050752 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 72621179050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113674760908800).

72621179050752 is an abundant number, since it is smaller than the sum of its proper divisors (154728342766848).

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

72621179050752 is a wasteful number, since it uses less digits than its factorization.

72621179050752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21381 (or 21361 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 72621179050752 in words is "seventy-two trillion, six hundred twenty-one billion, one hundred seventy-nine million, fifty thousand, seven hundred fifty-two".