172312140 has 384 divisors, whose sum is σ = 686407680. Its totient is φ = 31104000.

The previous prime is 172312117. The next prime is 172312177. The reversal of 172312140 is 41213271.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1141065 + ... + 1141215.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^172312140 is an apocalyptic number.

172312140 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 172312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343203840).

172312140 is an abundant number, since it is smaller than the sum of its proper divisors (514095540).

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

172312140 is a wasteful number, since it uses less digits than its factorization.

172312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 172312140 is about 13126.7718803977. The cubic root of 172312140 is about 556.4659887558.

The spelling of 172312140 in words is "one hundred seventy-two million, three hundred twelve thousand, one hundred forty".