172248975360 has 2304 divisors, whose sum is σ = 824231116800. Its totient is φ = 33443020800.

The previous prime is 172248975313. The next prime is 172248975377. The reversal of 172248975360 is 63579842271.

It is a happy number.

172248975360 is a `hidden beast` number, since 1 + 7 + 2 + 24 + 89 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 172248975297 and 172248975306.

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 191 ways as a sum of consecutive naturals, for example, 5556418545 + ... + 5556418575.

It is an arithmetic number, because the mean of its divisors is an integer number (357739200).

It is a 1-persistent number, because it is pandigital, but 2⋅172248975360 = 344497950720 is not.

Almost surely, 2^172248975360 is an apocalyptic number.

172248975360 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 172248975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412115558400).

172248975360 is an abundant number, since it is smaller than the sum of its proper divisors (651982141440).

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

172248975360 is a wasteful number, since it uses less digits than its factorization.

172248975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 172248975360 in words is "one hundred seventy-two billion, two hundred forty-eight million, nine hundred seventy-five thousand, three hundred sixty".