172840032 has 144 divisors (see below), whose sum is σ = 520097760. Its totient is φ = 54337536.

The previous prime is 172840027. The next prime is 172840039. The reversal of 172840032 is 230048271.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×172840032² = 59747353323522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172839978 and 172840005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172840039) 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 23 ways as a sum of consecutive naturals, for example, 642394 + ... + 642662.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^172840032 is an apocalyptic number.

172840032 is a gapful number since it is divisible by the number (12) 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 172840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260048880).

172840032 is an abundant number, since it is smaller than the sum of its proper divisors (347257728).

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

172840032 is a wasteful number, since it uses less digits than its factorization.

172840032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 172840032 is about 13146.8639606562. The cubic root of 172840032 is about 557.0336687690.

The spelling of 172840032 in words is "one hundred seventy-two million, eight hundred forty thousand, thirty-two".