172149120 has 576 divisors, whose sum is σ = 740703600. Its totient is φ = 36495360.

The previous prime is 172149113. The next prime is 172149121. The reversal of 172149120 is 21941271.

172149120 is a `hidden beast` number, since 172 + 1 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172149121) 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, 9060471 + ... + 9060489.

Almost surely, 2^172149120 is an apocalyptic number.

172149120 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 172149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370351800).

172149120 is an abundant number, since it is smaller than the sum of its proper divisors (568554480).

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

172149120 is a wasteful number, since it uses less digits than its factorization.

172149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 172149120 is about 13120.5609636174. The cubic root of 172149120 is about 556.2904474228.

The spelling of 172149120 in words is "one hundred seventy-two million, one hundred forty-nine thousand, one hundred twenty".