172712456 has 48 divisors (see below), whose sum is σ = 379363500. Its totient is φ = 73497984.

The previous prime is 172712453. The next prime is 172712479. The reversal of 172712456 is 654217271.

It can be written as a sum of positive squares in 2 ways, for example, as 148011556 + 24700900 = 12166^2 + 4970^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (172712453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56930 + ... + 59886.

Almost surely, 2^172712456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172712456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189681750).

172712456 is an abundant number, since it is smaller than the sum of its proper divisors (206651044).

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

172712456 is a wasteful number, since it uses less digits than its factorization.

172712456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3115 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 172712456 is about 13142.0111094155. The cubic root of 172712456 is about 556.8965832065.

It can be divided in two parts, 1727 and 12456, that multiplied together give a palindrome (21511512).

The spelling of 172712456 in words is "one hundred seventy-two million, seven hundred twelve thousand, four hundred fifty-six".