72131405606190 has 64 divisors (see below), whose sum is σ = 219829045662720. Its totient is φ = 16487178423840.

The previous prime is 72131405606083. The next prime is 72131405606207. The reversal of 72131405606190 is 9160650413127.

72131405606190 is a `hidden beast` number, since 7 + 2 + 1 + 31 + 4 + 0 + 5 + 606 + 1 + 9 + 0 = 666.

It is a super-2 number, since 2×72131405606190² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19082380546 + ... + 19082384325.

It is an arithmetic number, because the mean of its divisors is an integer number (3434828838480).

Almost surely, 2^{72131405606190} is an apocalyptic number.

72131405606190 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72131405606190 is an abundant number, since it is smaller than the sum of its proper divisors (147697640056530).

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

72131405606190 is a wasteful number, since it uses less digits than its factorization.

72131405606190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38164764894 (or 38164764888 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 72131405606190 in words is "seventy-two trillion, one hundred thirty-one billion, four hundred five million, six hundred six thousand, one hundred ninety".