72325180277532 has 1152 divisors, whose sum is σ = 240326772940800. Its totient is φ = 17832134541312.

The previous prime is 72325180277479. The next prime is 72325180277533. The reversal of 72325180277532 is 23577208152327.

72325180277532 is a `hidden beast` number, since 7 + 2 + 3 + 2 + 5 + 1 + 80 + 27 + 7 + 532 = 666.

It is a super-2 number, since 2×72325180277532² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72325180277533) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90746775358 + ... + 90746776154.

It is an arithmetic number, because the mean of its divisors is an integer number (208616990400).

Almost surely, 2^{72325180277532} 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 72325180277532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120163386470400).

72325180277532 is an abundant number, since it is smaller than the sum of its proper divisors (168001592663268).

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

72325180277532 is a wasteful number, since it uses less digits than its factorization.

72325180277532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 72325180277532 in words is "seventy-two trillion, three hundred twenty-five billion, one hundred eighty million, two hundred seventy-seven thousand, five hundred thirty-two".