72176241216 has 224 divisors, whose sum is σ = 213133472640. Its totient is φ = 21448720384.

The previous prime is 72176241211. The next prime is 72176241227. The reversal of 72176241216 is 61214267127.

It is not an unprimeable number, because it can be changed into a prime (72176241211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5009575 + ... + 5023961.

Almost surely, 2^72176241216 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 72176241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106566736320).

72176241216 is an abundant number, since it is smaller than the sum of its proper divisors (140957231424).

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

72176241216 is a wasteful number, since it uses less digits than its factorization.

72176241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501 (or 14491 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The spelling of 72176241216 in words is "seventy-two billion, one hundred seventy-six million, two hundred forty-one thousand, two hundred sixteen".