72112072500 has 720 divisors, whose sum is σ = 266117115264. Its totient is φ = 16936128000.

The previous prime is 72112072451. The next prime is 72112072519. The reversal of 72112072500 is 527021127.

72112072500 is a `hidden beast` number, since 72 + 1 + 1 + 20 + 72 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 181642302 + ... + 181642698.

Almost surely, 2^72112072500 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 72112072500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133058557632).

72112072500 is an abundant number, since it is smaller than the sum of its proper divisors (194005042764).

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

72112072500 is a wasteful number, since it uses less digits than its factorization.

72112072500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 72112072500 its reverse (527021127), we get a palindrome (72639093627).

The spelling of 72112072500 in words is "seventy-two billion, one hundred twelve million, seventy-two thousand, five hundred".