172516680 has 192 divisors, whose sum is σ = 678637440. Its totient is φ = 37103616.

The previous prime is 172516667. The next prime is 172516693. The reversal of 172516680 is 86615271.

It is an interprime number because it is at equal distance from previous prime (172516667) and next prime (172516693).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40827 + ... + 44853.

It is an arithmetic number, because the mean of its divisors is an integer number (3534570).

Almost surely, 2^172516680 is an apocalyptic number.

172516680 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 172516680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339318720).

172516680 is an abundant number, since it is smaller than the sum of its proper divisors (506120760).

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

172516680 is a wasteful number, since it uses less digits than its factorization.

172516680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 172516680 is about 13134.5605179618. The cubic root of 172516680 is about 556.6860826452.

The spelling of 172516680 in words is "one hundred seventy-two million, five hundred sixteen thousand, six hundred eighty".