172764736 has 63 divisors (see below), whose sum is σ = 361055793. Its totient is φ = 82018560.

The previous prime is 172764719. The next prime is 172764751. The reversal of 172764736 is 637467271.

The square root of 172764736 is 13144.

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., 124545600 + 48219136 = 11160^2 + 6944^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172764692 and 172764701.

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, 3259686 + ... + 3259738.

Almost surely, 2^172764736 is an apocalyptic number.

172764736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

172764736 is the 13144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172764736

172764736 is an abundant number, since it is smaller than the sum of its proper divisors (188291057).

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

172764736 is an frugal number, since it uses more digits than its factorization.

172764736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 86 counting only the distinct ones).

The product of its digits is 296352, while the sum is 43.

The cubic root of 172764736 is about 556.9527683381.

The spelling of 172764736 in words is "one hundred seventy-two million, seven hundred sixty-four thousand, seven hundred thirty-six".