172275840 has 192 divisors, whose sum is σ = 649209600. Its totient is φ = 41748480.

The previous prime is 172275799. The next prime is 172275847. The reversal of 172275840 is 48572271.

172275840 is a `hidden beast` number, since 1 + 72 + 2 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172275795 and 172275804.

It is not an unprimeable number, because it can be changed into a prime (172275847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62001 + ... + 64719.

It is an arithmetic number, because the mean of its divisors is an integer number (3381300).

Almost surely, 2^172275840 is an apocalyptic number.

172275840 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 172275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604800).

172275840 is an abundant number, since it is smaller than the sum of its proper divisors (476933760).

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

172275840 is a wasteful number, since it uses less digits than its factorization.

172275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 172275840 is about 13125.3891370885. The cubic root of 172275840 is about 556.4269101898.

The spelling of 172275840 in words is "one hundred seventy-two million, two hundred seventy-five thousand, eight hundred forty".