172820502720 has 448 divisors, whose sum is σ = 635778662400. Its totient is φ = 44137820160.

The previous prime is 172820502719. The next prime is 172820502721. The reversal of 172820502720 is 27205028271.

172820502720 is a `hidden beast` number, since 1 + 7 + 2 + 82 + 0 + 502 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (172820502719) and next prime (172820502721).

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

It is not an unprimeable number, because it can be changed into a prime (172820502721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31818405 + ... + 31823835.

It is an arithmetic number, because the mean of its divisors is an integer number (1419148800).

Almost surely, 2^172820502720 is an apocalyptic number.

172820502720 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 172820502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317889331200).

172820502720 is an abundant number, since it is smaller than the sum of its proper divisors (462958159680).

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

172820502720 is a wasteful number, since it uses less digits than its factorization.

172820502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 172820502720 in words is "one hundred seventy-two billion, eight hundred twenty million, five hundred two thousand, seven hundred twenty".