172271520 has 72 divisors (see below), whose sum is σ = 587881476. Its totient is φ = 45938688.

The previous prime is 172271509. The next prime is 172271527. The reversal of 172271520 is 25172271.

172271520 is a `hidden beast` number, since 1 + 72 + 2 + 71 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 172029456 + 242064 = 13116^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×172271520² = 59354953206220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172271527) 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 11 ways as a sum of consecutive naturals, for example, 58377 + ... + 61256.

Almost surely, 2^172271520 is an apocalyptic number.

172271520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172271520 is an abundant number, since it is smaller than the sum of its proper divisors (415609956).

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

172271520 is a wasteful number, since it uses less digits than its factorization.

172271520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119654 (or 119643 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 172271520 is about 13125.2245695074. The cubic root of 172271520 is about 556.4222591520.

The spelling of 172271520 in words is "one hundred seventy-two million, two hundred seventy-one thousand, five hundred twenty".