172977120 has 168 divisors, whose sum is σ = 613120536. Its totient is φ = 46096128.

The previous prime is 172977113. The next prime is 172977127. The reversal of 172977120 is 21779271.

It is an interprime number because it is at equal distance from previous prime (172977113) and next prime (172977127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172977127) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115899 + ... + 117381.

It is an arithmetic number, because the mean of its divisors is an integer number (3649527).

Almost surely, 2^172977120 is an apocalyptic number.

172977120 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 172977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306560268).

172977120 is an abundant number, since it is smaller than the sum of its proper divisors (440143416).

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

172977120 is an equidigital number, since it uses as much as digits as its factorization.

172977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 172977120 is about 13152.0766421125. The cubic root of 172977120 is about 557.1809001918.

The spelling of 172977120 in words is "one hundred seventy-two million, nine hundred seventy-seven thousand, one hundred twenty".