172615753728 has 336 divisors, whose sum is σ = 564186482496. Its totient is φ = 52301168640.

The previous prime is 172615753693. The next prime is 172615753753. The reversal of 172615753728 is 827357516271.

172615753728 is a `hidden beast` number, since 1 + 7 + 2 + 61 + 575 + 3 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21893275 + ... + 21901157.

It is an arithmetic number, because the mean of its divisors is an integer number (1679126436).

Almost surely, 2^172615753728 is an apocalyptic number.

172615753728 is a gapful number since it is divisible by the number (18) 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 172615753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282093241248).

172615753728 is an abundant number, since it is smaller than the sum of its proper divisors (391570728768).

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

172615753728 is an frugal number, since it uses more digits than its factorization.

172615753728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7899 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The spelling of 172615753728 in words is "one hundred seventy-two billion, six hundred fifteen million, seven hundred fifty-three thousand, seven hundred twenty-eight".