72346488331572 has 1728 divisors, whose sum is σ = 256148984093184. Its totient is φ = 17370723041280.

The previous prime is 72346488331547. The next prime is 72346488331721. The reversal of 72346488331572 is 27513388464327.

72346488331572 is a `hidden beast` number, since 7 + 2 + 3 + 46 + 488 + 33 + 15 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 95569997418 + ... + 95569998174.

Almost surely, 2^{72346488331572} 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 72346488331572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128074492046592).

72346488331572 is an abundant number, since it is smaller than the sum of its proper divisors (183802495761612).

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

72346488331572 is a wasteful number, since it uses less digits than its factorization.

72346488331572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 915 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 72346488331572 in words is "seventy-two trillion, three hundred forty-six billion, four hundred eighty-eight million, three hundred thirty-one thousand, five hundred seventy-two".