172271760 has 80 divisors (see below), whose sum is σ = 546494784. Its totient is φ = 44868096.

The previous prime is 172271731. The next prime is 172271767. The reversal of 172271760 is 67172271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (172271767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974 + ... + 18666.

Almost surely, 2^172271760 is an apocalyptic number.

172271760 is a gapful number since it is divisible by the number (10) 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 172271760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273247392).

172271760 is an abundant number, since it is smaller than the sum of its proper divisors (374223024).

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

172271760 is a wasteful number, since it uses less digits than its factorization.

172271760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752 (or 16746 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 172271760 is about 13125.2337122049. The cubic root of 172271760 is about 556.4225175450.

The spelling of 172271760 in words is "one hundred seventy-two million, two hundred seventy-one thousand, seven hundred sixty".