72617205500 has 96 divisors (see below), whose sum is σ = 187099680768. Its totient is φ = 24094152000.

The previous prime is 72617205467. The next prime is 72617205511. The reversal of 72617205500 is 550271627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226142 + ... + 443141.

It is an arithmetic number, because the mean of its divisors is an integer number (1948955008).

Almost surely, 2^72617205500 is an apocalyptic number.

72617205500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72617205500 is an abundant number, since it is smaller than the sum of its proper divisors (114482475268).

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

72617205500 is a wasteful number, since it uses less digits than its factorization.

72617205500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669340 (or 669328 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 72617205500 in words is "seventy-two billion, six hundred seventeen million, two hundred five thousand, five hundred".