172993716 has 108 divisors (see below), whose sum is σ = 511956900. Its totient is φ = 49109760.

The previous prime is 172993627. The next prime is 172993739. The reversal of 172993716 is 617399271.

172993716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122014116 + 50979600 = 11046^2 + 7140^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 495510 + ... + 495858.

Almost surely, 2^172993716 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 172993716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255978450).

172993716 is an abundant number, since it is smaller than the sum of its proper divisors (338963184).

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

172993716 is a wasteful number, since it uses less digits than its factorization.

172993716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 172993716 is about 13152.7075539601. The cubic root of 172993716 is about 557.1987188846.

The spelling of 172993716 in words is "one hundred seventy-two million, nine hundred ninety-three thousand, seven hundred sixteen".