172972801 has 2 divisors, whose sum is σ = 172972802. Its totient is φ = 172972800.

The previous prime is 172972783. The next prime is 172972853. The reversal of 172972801 is 108279271.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87890625 + 85082176 = 9375^2 + 9224^2 .

It is a cyclic number.

It is not a de Polignac number, because 172972801 - 2⁵ = 172972769 is a prime.

It is not a weakly prime, because it can be changed into another prime (172972871) 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 as a sum of consecutive naturals, namely, 86486400 + 86486401.

It is an arithmetic number, because the mean of its divisors is an integer number (86486401).

Almost surely, 2^172972801 is an apocalyptic number.

It is an amenable number.

172972801 is a deficient number, since it is larger than the sum of its proper divisors (1).

172972801 is an equidigital number, since it uses as much as digits as its factorization.

172972801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 172972801 is about 13151.9124464847. The cubic root of 172972801 is about 557.1762628071.

It can be divided in two parts, 17297280 and 1, that added together give a square (17297281 = 4159²).

The spelling of 172972801 in words is "one hundred seventy-two million, nine hundred seventy-two thousand, eight hundred one".