172947672 has 96 divisors (see below), whose sum is σ = 492317280. Its totient is φ = 54743040.

The previous prime is 172947661. The next prime is 172947673. The reversal of 172947672 is 276749271.

172947672 is a `hidden beast` number, since 172 + 9 + 476 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172947673) 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, 299448 + ... + 300024.

It is an arithmetic number, because the mean of its divisors is an integer number (5128305).

Almost surely, 2^172947672 is an apocalyptic number.

172947672 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 172947672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246158640).

172947672 is an abundant number, since it is smaller than the sum of its proper divisors (319369608).

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

172947672 is a wasteful number, since it uses less digits than its factorization.

172947672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 786 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 172947672 is about 13150.9570754375. The cubic root of 172947672 is about 557.1492798358.

The spelling of 172947672 in words is "one hundred seventy-two million, nine hundred forty-seven thousand, six hundred seventy-two".