172211440 has 120 divisors (see below), whose sum is σ = 433699920. Its totient is φ = 63562752.

The previous prime is 172211407. The next prime is 172211477. The reversal of 172211440 is 44112271.

172211440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934916 + ... + 1935004.

It is an arithmetic number, because the mean of its divisors is an integer number (3614166).

Almost surely, 2^172211440 is an apocalyptic number.

172211440 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 172211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216849960).

172211440 is an abundant number, since it is smaller than the sum of its proper divisors (261488480).

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

172211440 is a wasteful number, since it uses less digits than its factorization.

172211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 172211440 is about 13122.9356471789. The cubic root of 172211440 is about 556.3575672124.

The spelling of 172211440 in words is "one hundred seventy-two million, two hundred eleven thousand, four hundred forty".