172013688 has 384 divisors, whose sum is σ = 646963200. Its totient is φ = 39916800.

The previous prime is 172013687. The next prime is 172013693. The reversal of 172013688 is 886310271.

It is a super-2 number, since 2×172013688² = 59177417718722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172013683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2422693 + ... + 2422763.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^172013688 is an apocalyptic number.

172013688 is a gapful number since it is divisible by the number (18) 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 172013688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323481600).

172013688 is an abundant number, since it is smaller than the sum of its proper divisors (474949512).

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

172013688 is a wasteful number, since it uses less digits than its factorization.

172013688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 172013688 is about 13115.3988883297. The cubic root of 172013688 is about 556.1445287887.

The spelling of 172013688 in words is "one hundred seventy-two million, thirteen thousand, six hundred eighty-eight".