172291712640 has 256 divisors, whose sum is σ = 568785162240. Its totient is φ = 44331929600.

The previous prime is 172291712629. The next prime is 172291712651. The reversal of 172291712640 is 46217192271.

It is an interprime number because it is at equal distance from previous prime (172291712629) and next prime (172291712651).

It is a junction number, because it is equal to n+sod(n) for n = 172291712592 and 172291712601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6393595 + ... + 6420485.

It is an arithmetic number, because the mean of its divisors is an integer number (2221817040).

Almost surely, 2^172291712640 is an apocalyptic number.

172291712640 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 172291712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284392581120).

172291712640 is an abundant number, since it is smaller than the sum of its proper divisors (396493449600).

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

172291712640 is a wasteful number, since it uses less digits than its factorization.

172291712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27031 (or 27019 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 172291712640 in words is "one hundred seventy-two billion, two hundred ninety-one million, seven hundred twelve thousand, six hundred forty".