172199916 has 216 divisors, whose sum is σ = 541771776. Its totient is φ = 45904320.

The previous prime is 172199897. The next prime is 172199917. The reversal of 172199916 is 619991271.

It is a super-2 number, since 2×172199916² = 59305622140814112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (172199917) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2570115 + ... + 2570181.

Almost surely, 2^172199916 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 172199916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270885888).

172199916 is an abundant number, since it is smaller than the sum of its proper divisors (369571860).

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

172199916 is a wasteful number, since it uses less digits than its factorization.

172199916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its digits is 61236, while the sum is 45.

The square root of 172199916 is about 13122.4965612493. The cubic root of 172199916 is about 556.3451568723.

The spelling of 172199916 in words is "one hundred seventy-two million, one hundred ninety-nine thousand, nine hundred sixteen".