172326672 has 120 divisors (see below), whose sum is σ = 575213184. Its totient is φ = 47089152.

The previous prime is 172326659. The next prime is 172326673. The reversal of 172326672 is 276623271.

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.

It is not an unprimeable number, because it can be changed into a prime (172326673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19468 + ... + 26900.

Almost surely, 2^172326672 is an apocalyptic number.

172326672 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 172326672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287606592).

172326672 is an abundant number, since it is smaller than the sum of its proper divisors (402886512).

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

172326672 is a wasteful number, since it uses less digits than its factorization.

172326672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7468 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 172326672 is about 13127.3253940016. The cubic root of 172326672 is about 556.4816315624.

The spelling of 172326672 in words is "one hundred seventy-two million, three hundred twenty-six thousand, six hundred seventy-two".