172038160 has 240 divisors, whose sum is σ = 517038336. Its totient is φ = 52005888.

The previous prime is 172038109. The next prime is 172038169. The reversal of 172038160 is 61830271.

172038160 = T₄₈₇ + T₄₈₈ + ... + T₁₀₄₆.

172038160 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (172038169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4649662 + ... + 4649698.

Almost surely, 2^172038160 is an apocalyptic number.

172038160 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 172038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258519168).

172038160 is an abundant number, since it is smaller than the sum of its proper divisors (345000176).

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

172038160 is a wasteful number, since it uses less digits than its factorization.

172038160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 172038160 is about 13116.3318042813. The cubic root of 172038160 is about 556.1709013479.

The spelling of 172038160 in words is "one hundred seventy-two million, thirty-eight thousand, one hundred sixty".