172772791761920 has 1584 divisors, whose sum is σ = 528964354778112. Its totient is φ = 53947308441600.

The previous prime is 172772791761919. The next prime is 172772791761923. The reversal of 172772791761920 is 29167197277271.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172772791761923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 470770549577 + ... + 470770549943.

It is an arithmetic number, because the mean of its divisors is an integer number (333942143168).

Almost surely, 2^{172772791761920} is an apocalyptic number.

172772791761920 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 172772791761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264482177389056).

172772791761920 is an abundant number, since it is smaller than the sum of its proper divisors (356191563016192).

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

172772791761920 is a wasteful number, since it uses less digits than its factorization.

172772791761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 65345616, while the sum is 68.

The spelling of 172772791761920 in words is "one hundred seventy-two trillion, seven hundred seventy-two billion, seven hundred ninety-one million, seven hundred sixty-one thousand, nine hundred twenty".