172251837120 has 448 divisors, whose sum is σ = 616037571072. Its totient is φ = 40415232000.

The previous prime is 172251837103. The next prime is 172251837157. The reversal of 172251837120 is 21738152271.

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 63 ways as a sum of consecutive naturals, for example, 56716242 + ... + 56719278.

It is an arithmetic number, because the mean of its divisors is an integer number (1375083864).

Almost surely, 2^172251837120 is an apocalyptic number.

172251837120 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 172251837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308018785536).

172251837120 is an abundant number, since it is smaller than the sum of its proper divisors (443785733952).

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

172251837120 is a wasteful number, since it uses less digits than its factorization.

172251837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

Adding to 172251837120 its reverse (21738152271), we get a palindrome (193989989391).

The spelling of 172251837120 in words is "one hundred seventy-two billion, two hundred fifty-one million, eight hundred thirty-seven thousand, one hundred twenty".