172101036744 has 768 divisors, whose sum is σ = 617766912000. Its totient is φ = 43985410560.

The previous prime is 172101036743. The next prime is 172101036773. The reversal of 172101036744 is 447630101271.

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

It is a junction number, because it is equal to n+sod(n) for n = 172101036699 and 172101036708.

It is not an unprimeable number, because it can be changed into a prime (172101036743) by changing a digit.

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, 771753417 + ... + 771753639.

It is an arithmetic number, because the mean of its divisors is an integer number (804384000).

Almost surely, 2^172101036744 is an apocalyptic number.

172101036744 is a gapful number since it is divisible by the number (14) 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 172101036744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308883456000).

172101036744 is an abundant number, since it is smaller than the sum of its proper divisors (445665875256).

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

172101036744 is a wasteful number, since it uses less digits than its factorization.

172101036744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 172101036744 in words is "one hundred seventy-two billion, one hundred one million, thirty-six thousand, seven hundred forty-four".