72772194158244 has 243 divisors, whose sum is σ = 216232068146913. Its totient is φ = 20575956744000.

The previous prime is 72772194158239. The next prime is 72772194158297. The reversal of 72772194158244 is 44285149127727.

It is a happy number.

The square root of 72772194158244 is 8530662.

It is a perfect power (a square), and thus also a powerful number.

72772194158244 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 2 + 1 + 9 + 4 + 1 + 582 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69918662380644 + 2853531777600 = 8361738^2 + 1689240^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 36187067199 + ... + 36187069209.

Almost surely, 2^{72772194158244} is an apocalyptic number.

72772194158244 is the 8530662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72772194158244

72772194158244 is an abundant number, since it is smaller than the sum of its proper divisors (143459873988669).

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

72772194158244 is a wasteful number, since it uses less digits than its factorization.

72772194158244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 2124 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 72772194158244 in words is "seventy-two trillion, seven hundred seventy-two billion, one hundred ninety-four million, one hundred fifty-eight thousand, two hundred forty-four".