172164440 has 96 divisors (see below), whose sum is σ = 477213120. Its totient is φ = 55544832.

The previous prime is 172164437. The next prime is 172164449. The reversal of 172164440 is 44461271.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172164449) 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, 30737 + ... + 35903.

It is an arithmetic number, because the mean of its divisors is an integer number (4970970).

Almost surely, 2^172164440 is an apocalyptic number.

172164440 is a gapful number since it is divisible by the number (10) 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 172164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238606560).

172164440 is an abundant number, since it is smaller than the sum of its proper divisors (305048680).

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

172164440 is a wasteful number, since it uses less digits than its factorization.

172164440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 172164440 is about 13121.1447671306. The cubic root of 172164440 is about 556.3069488468.

The spelling of 172164440 in words is "one hundred seventy-two million, one hundred sixty-four thousand, four hundred forty".