172956672 has 198 divisors, whose sum is σ = 582461568. Its totient is φ = 49287168.

The previous prime is 172956661. The next prime is 172956683. The reversal of 172956672 is 276659271.

172956672 is a `hidden beast` number, since 17 + 2 + 9 + 566 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (172956661) and next prime (172956683).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451393 + ... + 451775.

Almost surely, 2^172956672 is an apocalyptic number.

172956672 is a gapful number since it is divisible by the number (12) 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 172956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291230784).

172956672 is an abundant number, since it is smaller than the sum of its proper divisors (409504896).

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

172956672 is a wasteful number, since it uses less digits than its factorization.

172956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 172956672 is about 13151.2992514048. The cubic root of 172956672 is about 557.1589441396.

The spelling of 172956672 in words is "one hundred seventy-two million, nine hundred fifty-six thousand, six hundred seventy-two".