172773434120 has 256 divisors, whose sum is σ = 480151203840. Its totient is φ = 54669339648.

The previous prime is 172773434117. The next prime is 172773434123. The reversal of 172773434120 is 21434377271.

It is an interprime number because it is at equal distance from previous prime (172773434117) and next prime (172773434123).

It is not an unprimeable number, because it can be changed into a prime (172773434123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22980602 + ... + 22988118.

It is an arithmetic number, because the mean of its divisors is an integer number (1875590640).

Almost surely, 2^172773434120 is an apocalyptic number.

172773434120 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 172773434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240075601920).

172773434120 is an abundant number, since it is smaller than the sum of its proper divisors (307377769720).

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

172773434120 is a wasteful number, since it uses less digits than its factorization.

172773434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 172773434120 in words is "one hundred seventy-two billion, seven hundred seventy-three million, four hundred thirty-four thousand, one hundred twenty".