172329840 has 60 divisors (see below), whose sum is σ = 578743464. Its totient is φ = 45954432.

The previous prime is 172329811. The next prime is 172329841. The reversal of 172329840 is 48923271.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×172329840³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 172329795 and 172329804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172329841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118954 + ... + 120393.

Almost surely, 2^172329840 is an apocalyptic number.

172329840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172329840 is an abundant number, since it is smaller than the sum of its proper divisors (406413624).

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

172329840 is a wasteful number, since it uses less digits than its factorization.

172329840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239366 (or 239357 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 172329840 is about 13127.4460577829. The cubic root of 172329840 is about 556.4850416033.

It can be divided in two parts, 17232 and 9840, that added together give a palindrome (27072).

The spelling of 172329840 in words is "one hundred seventy-two million, three hundred twenty-nine thousand, eight hundred forty".