172168992 has 144 divisors (see below), whose sum is σ = 510898752. Its totient is φ = 54950400.

The previous prime is 172168991. The next prime is 172168999. The reversal of 172168992 is 299861271.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (172168991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140117 + ... + 1140267.

It is an arithmetic number, because the mean of its divisors is an integer number (3547908).

Almost surely, 2^172168992 is an apocalyptic number.

172168992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172168992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255449376).

172168992 is an abundant number, since it is smaller than the sum of its proper divisors (338729760).

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

172168992 is a wasteful number, since it uses less digits than its factorization.

172168992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 172168992 is about 13121.3182264588. The cubic root of 172168992 is about 556.3118516923.

The spelling of 172168992 in words is "one hundred seventy-two million, one hundred sixty-eight thousand, nine hundred ninety-two".