172113984 has 392 divisors, whose sum is σ = 639641088. Its totient is φ = 44789760.

The previous prime is 172113979. The next prime is 172114003. The reversal of 172113984 is 489311271.

172113984 = 55³ + 56³ + ... + 162³.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5552049 + ... + 5552079.

Almost surely, 2^172113984 is an apocalyptic number.

172113984 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 172113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319820544).

172113984 is an abundant number, since it is smaller than the sum of its proper divisors (467527104).

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

172113984 is an equidigital number, since it uses as much as digits as its factorization.

172113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 172113984 is about 13119.2219281480. The cubic root of 172113984 is about 556.2525981615.

The spelling of 172113984 in words is "one hundred seventy-two million, one hundred thirteen thousand, nine hundred eighty-four".