172572312001 has 8 divisors (see below), whose sum is σ = 173692192520. Its totient is φ = 171454758912.

The previous prime is 172572311987. The next prime is 172572312013. The reversal of 172572312001 is 100213275271.

It can be written as a sum of positive squares in 4 ways, for example, as 9129993601 + 163442318400 = 95551^2 + 404280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 172572312001 - 2⁵ = 172572311969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172572312071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432960 + ... + 729793.

It is an arithmetic number, because the mean of its divisors is an integer number (21711524065).

Almost surely, 2^172572312001 is an apocalyptic number.

It is an amenable number.

172572312001 is a deficient number, since it is larger than the sum of its proper divisors (1119880519).

172572312001 is a wasteful number, since it uses less digits than its factorization.

172572312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163715.

The product of its (nonzero) digits is 5880, while the sum is 31.

Adding to 172572312001 its reverse (100213275271), we get a palindrome (272785587272).

The spelling of 172572312001 in words is "one hundred seventy-two billion, five hundred seventy-two million, three hundred twelve thousand, one".