172627871520 has 192 divisors, whose sum is σ = 586616929920. Its totient is φ = 42419724288.

The previous prime is 172627871519. The next prime is 172627871593. The reversal of 172627871520 is 25178726271.

It is a super-2 number, since 2×172627871520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 172627871520.

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, 3639316 + ... + 3686444.

It is an arithmetic number, because the mean of its divisors is an integer number (3055296510).

Almost surely, 2^172627871520 is an apocalyptic number.

172627871520 is a gapful number since it is divisible by the number (10) 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 172627871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293308464960).

172627871520 is an abundant number, since it is smaller than the sum of its proper divisors (413989058400).

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

172627871520 is a wasteful number, since it uses less digits than its factorization.

172627871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47747 (or 47739 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 172627871520 in words is "one hundred seventy-two billion, six hundred twenty-seven million, eight hundred seventy-one thousand, five hundred twenty".