172057374720 has 1248 divisors, whose sum is σ = 772811020800. Its totient is φ = 35672555520.

The previous prime is 172057374703. The next prime is 172057374737. The reversal of 172057374720 is 27473750271.

172057374720 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 573 + 7 + 4 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (172057374703) and next prime (172057374737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383201056 + ... + 383201504.

It is an arithmetic number, because the mean of its divisors is an integer number (619239600).

Almost surely, 2^172057374720 is an apocalyptic number.

172057374720 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 172057374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386405510400).

172057374720 is an abundant number, since it is smaller than the sum of its proper divisors (600753646080).

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

172057374720 is an equidigital number, since it uses as much as digits as its factorization.

172057374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 172057374720 in words is "one hundred seventy-two billion, fifty-seven million, three hundred seventy-four thousand, seven hundred twenty".