72605838142224 has 30 divisors (see below), whose sum is σ = 203195505356766. Its totient is φ = 24201946047360.

The previous prime is 72605838142213. The next prime is 72605838142249. The reversal of 72605838142224 is 42224183850627.

72605838142224 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 583 + 8 + 14 + 22 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47170358052624 + 25435480089600 = 6868068^2 + 5043360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252103604517 + ... + 252103604804.

Almost surely, 2^{72605838142224} is an apocalyptic number.

It is an amenable number.

72605838142224 is an abundant number, since it is smaller than the sum of its proper divisors (130589667214542).

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

72605838142224 is a wasteful number, since it uses less digits than its factorization.

72605838142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504207209335 (or 504207209326 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 72605838142224 in words is "seventy-two trillion, six hundred five billion, eight hundred thirty-eight million, one hundred forty-two thousand, two hundred twenty-four".