172500120 has 384 divisors, whose sum is σ = 660441600. Its totient is φ = 38707200.

The previous prime is 172500101. The next prime is 172500121. The reversal of 172500120 is 21005271.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 172500093 and 172500102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172500121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4207300 + ... + 4207340.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^172500120 is an apocalyptic number.

172500120 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 172500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

172500120 is an abundant number, since it is smaller than the sum of its proper divisors (487941480).

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

172500120 is a wasteful number, since it uses less digits than its factorization.

172500120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 172500120 is about 13133.9301048848. The cubic root of 172500120 is about 556.6682698429.

Adding to 172500120 its reverse (21005271), we get a palindrome (193505391).

The spelling of 172500120 in words is "one hundred seventy-two million, five hundred thousand, one hundred twenty".