172029456 has 45 divisors (see below), whose sum is σ = 481884429. Its totient is φ = 57290688.

The previous prime is 172029449. The next prime is 172029469. The reversal of 172029456 is 654920271.

The square root of 172029456 is 13116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 169520400 + 2509056 = 13020^2 + 1584^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 172029456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156846 + ... + 157938.

Almost surely, 2^172029456 is an apocalyptic number.

172029456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

172029456 is the 13116-th square number.

It is an amenable number.

172029456 is an abundant number, since it is smaller than the sum of its proper divisors (309854973).

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

172029456 is an equidigital number, since it uses as much as digits as its factorization.

172029456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 172029456 is about 556.1615216592.

Multiplying 172029456 by its sum of digits (36), we get a square (6193060416 = 78696²).

172029456 divided by its sum of digits (36) gives a square (4778596 = 2186²).

The spelling of 172029456 in words is "one hundred seventy-two million, twenty-nine thousand, four hundred fifty-six".