72356671872 has 512 divisors, whose sum is σ = 242704512000. Its totient is φ = 21082374144.

The previous prime is 72356671837. The next prime is 72356671883. The reversal of 72356671872 is 27817665327.

It is a happy number.

72356671872 is a `hidden beast` number, since 7 + 2 + 3 + 566 + 7 + 1 + 8 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59162653 + ... + 59163875.

It is an arithmetic number, because the mean of its divisors is an integer number (474032250).

Almost surely, 2^72356671872 is an apocalyptic number.

72356671872 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 72356671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121352256000).

72356671872 is an abundant number, since it is smaller than the sum of its proper divisors (170347840128).

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

72356671872 is a wasteful number, since it uses less digits than its factorization.

72356671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1317 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 72356671872 in words is "seventy-two billion, three hundred fifty-six million, six hundred seventy-one thousand, eight hundred seventy-two".