172076106384 has 480 divisors, whose sum is σ = 607711104000. Its totient is φ = 44246891520.

The previous prime is 172076106379. The next prime is 172076106403. The reversal of 172076106384 is 483601670271.

172076106384 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 7 + 6 + 1 + 0 + 638 + 4 = 666.

It is a super-2 number, since 2×172076106384² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101279967 + ... + 101281665.

It is an arithmetic number, because the mean of its divisors is an integer number (1266064800).

Almost surely, 2^172076106384 is an apocalyptic number.

172076106384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172076106384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303855552000).

172076106384 is an abundant number, since it is smaller than the sum of its proper divisors (435634997616).

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

172076106384 is a wasteful number, since it uses less digits than its factorization.

172076106384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 172076106384 in words is "one hundred seventy-two billion, seventy-six million, one hundred six thousand, three hundred eighty-four".