172720035216 has 135 divisors (see below), whose sum is σ = 492546977611. Its totient is φ = 56501107392.

The previous prime is 172720035197. The next prime is 172720035239. The reversal of 172720035216 is 612530027271.

The square root of 172720035216 is 415596.

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

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294241675 + ... + 294242261.

Almost surely, 2^172720035216 is an apocalyptic number.

172720035216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

172720035216 is the 415596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172720035216

172720035216 is an abundant number, since it is smaller than the sum of its proper divisors (319826942395).

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

172720035216 is an frugal number, since it uses more digits than its factorization.

172720035216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 172720035216 by its sum of digits (36), we get a square (6217921267776 = 2493576²).

172720035216 divided by its sum of digits (36) gives a square (4797778756 = 69266²).

The spelling of 172720035216 in words is "one hundred seventy-two billion, seven hundred twenty million, thirty-five thousand, two hundred sixteen".