72464172732 has 432 divisors, whose sum is σ = 240324084000. Its totient is φ = 18240380928.

The previous prime is 72464172731. The next prime is 72464172763. The reversal of 72464172732 is 23727146427.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72464172731) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50708994 + ... + 50710422.

It is an arithmetic number, because the mean of its divisors is an integer number (556305750).

Almost surely, 2^72464172732 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 72464172732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120162042000).

72464172732 is an abundant number, since it is smaller than the sum of its proper divisors (167859911268).

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

72464172732 is a wasteful number, since it uses less digits than its factorization.

72464172732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1566 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The spelling of 72464172732 in words is "seventy-two billion, four hundred sixty-four million, one hundred seventy-two thousand, seven hundred thirty-two".