172107186240 has 672 divisors, whose sum is σ = 654289776000. Its totient is φ = 38149816320.

The previous prime is 172107186179. The next prime is 172107186241. The reversal of 172107186240 is 42681701271.

It is not an unprimeable number, because it can be changed into a prime (172107186241) 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, 64002816 + ... + 64005504.

It is an arithmetic number, because the mean of its divisors is an integer number (973645500).

Almost surely, 2^172107186240 is an apocalyptic number.

172107186240 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 172107186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327144888000).

172107186240 is an abundant number, since it is smaller than the sum of its proper divisors (482182589760).

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

172107186240 is a wasteful number, since it uses less digits than its factorization.

172107186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 172107186240 in words is "one hundred seventy-two billion, one hundred seven million, one hundred eighty-six thousand, two hundred forty".