172971072 has 112 divisors (see below), whose sum is σ = 525068800. Its totient is φ = 55779840.

The previous prime is 172971061. The next prime is 172971083. The reversal of 172971072 is 270179271.

It is an interprime number because it is at equal distance from previous prime (172971061) and next prime (172971083).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51954 + ... + 55182.

Almost surely, 2^172971072 is an apocalyptic number.

172971072 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 172971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262534400).

172971072 is an abundant number, since it is smaller than the sum of its proper divisors (352097728).

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

172971072 is a wasteful number, since it uses less digits than its factorization.

172971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 172971072 is about 13151.8467144352. The cubic root of 172971072 is about 557.1744063284.

The spelling of 172971072 in words is "one hundred seventy-two million, nine hundred seventy-one thousand, seventy-two".