72175289472 has 768 divisors, whose sum is σ = 261119738880. Its totient is φ = 18819440640.

The previous prime is 72175289467. The next prime is 72175289477. The reversal of 72175289472 is 27498257127.

72175289472 is a `hidden beast` number, since 7 + 21 + 7 + 528 + 94 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72175289467) and next prime (72175289477).

It is not an unprimeable number, because it can be changed into a prime (72175289477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162923683 + ... + 162924125.

It is an arithmetic number, because the mean of its divisors is an integer number (339999660).

Almost surely, 2^72175289472 is an apocalyptic number.

72175289472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72175289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130559869440).

72175289472 is an abundant number, since it is smaller than the sum of its proper divisors (188944449408).

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

72175289472 is a wasteful number, since it uses less digits than its factorization.

72175289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 72175289472 in words is "seventy-two billion, one hundred seventy-five million, two hundred eighty-nine thousand, four hundred seventy-two".