172470010752 has 480 divisors, whose sum is σ = 559406580480. Its totient is φ = 52723187712.

The previous prime is 172470010711. The next prime is 172470010763. The reversal of 172470010752 is 257010074271.

172470010752 is a `hidden beast` number, since 172 + 470 + 0 + 10 + 7 + 5 + 2 = 666.

172470010752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 450313153 + ... + 450313535.

It is an arithmetic number, because the mean of its divisors is an integer number (1165430376).

Almost surely, 2^172470010752 is an apocalyptic number.

172470010752 is a gapful number since it is divisible by the number (12) 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 172470010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279703290240).

172470010752 is an abundant number, since it is smaller than the sum of its proper divisors (386936569728).

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

172470010752 is a wasteful number, since it uses less digits than its factorization.

172470010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 172470010752 in words is "one hundred seventy-two billion, four hundred seventy million, ten thousand, seven hundred fifty-two".