172273164 has 48 divisors (see below), whose sum is σ = 464153088. Its totient is φ = 48711168.

The previous prime is 172273139. The next prime is 172273201. The reversal of 172273164 is 461372271.

172273164 = 125² + 126² + ... + 803².

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

It is an unprimeable number.

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, 2424 + ... + 18719.

It is an arithmetic number, because the mean of its divisors is an integer number (9669856).

Almost surely, 2^172273164 is an apocalyptic number.

172273164 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 172273164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232076544).

172273164 is an abundant number, since it is smaller than the sum of its proper divisors (291879924).

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

172273164 is a wasteful number, since it uses less digits than its factorization.

172273164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21254 (or 21252 counting only the distinct ones).

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

The square root of 172273164 is about 13125.2871968578. The cubic root of 172273164 is about 556.4240291395.

The spelling of 172273164 in words is "one hundred seventy-two million, two hundred seventy-three thousand, one hundred sixty-four".