172764312 has 64 divisors (see below), whose sum is σ = 502951680. Its totient is φ = 48427392.

The previous prime is 172764301. The next prime is 172764313. The reversal of 172764312 is 213467271.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172764313) 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 15 ways as a sum of consecutive naturals, for example, 798 + ... + 18605.

It is an arithmetic number, because the mean of its divisors is an integer number (7858620).

Almost surely, 2^172764312 is an apocalyptic number.

172764312 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 172764312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

172764312 is an abundant number, since it is smaller than the sum of its proper divisors (330187368).

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

172764312 is a wasteful number, since it uses less digits than its factorization.

172764312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19472 (or 19468 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 172764312 is about 13143.9838709578. The cubic root of 172764312 is about 556.9523127124.

The spelling of 172764312 in words is "one hundred seventy-two million, seven hundred sixty-four thousand, three hundred twelve".