72172291788 has 84 divisors (see below), whose sum is σ = 189650539680. Its totient is φ = 24021238176.

The previous prime is 72172291781. The next prime is 72172291823. The reversal of 72172291788 is 88719227127.

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

It is not an unprimeable number, because it can be changed into a prime (72172291781) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1955853 + ... + 1992411.

It is an arithmetic number, because the mean of its divisors is an integer number (2257744520).

Almost surely, 2^72172291788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72172291788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94825269840).

72172291788 is an abundant number, since it is smaller than the sum of its proper divisors (117478247892).

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

72172291788 is a wasteful number, since it uses less digits than its factorization.

72172291788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37258 (or 37241 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 54.

The spelling of 72172291788 in words is "seventy-two billion, one hundred seventy-two million, two hundred ninety-one thousand, seven hundred eighty-eight".