172967080 has 96 divisors (see below), whose sum is σ = 460845000. Its totient is φ = 58037760.

The previous prime is 172967063. The next prime is 172967099. The reversal of 172967080 is 80769271.

It can be written as a sum of positive squares in 4 ways, for example, as 70997476 + 101969604 = 8426^2 + 10098^2 .

It is a super-2 number, since 2×172967080² = 59835221527452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61546 + ... + 64294.

Almost surely, 2^172967080 is an apocalyptic number.

172967080 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 172967080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230422500).

172967080 is an abundant number, since it is smaller than the sum of its proper divisors (287877920).

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

172967080 is a wasteful number, since it uses less digits than its factorization.

172967080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 172967080 is about 13151.6949478005. The cubic root of 172967080 is about 557.1701199520.

The spelling of 172967080 in words is "one hundred seventy-two million, nine hundred sixty-seven thousand, eighty".