72787201 has 2 divisors, whose sum is σ = 72787202. Its totient is φ = 72787200.

The previous prime is 72787189. The next prime is 72787207. The reversal of 72787201 is 10278727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52940176 + 19847025 = 7276^2 + 4455^2 .

It is a cyclic number.

It is not a de Polignac number, because 72787201 - 2¹⁹ = 72262913 is a prime.

It is not a weakly prime, because it can be changed into another prime (72787207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36393600 + 36393601.

It is an arithmetic number, because the mean of its divisors is an integer number (36393601).

Almost surely, 2^72787201 is an apocalyptic number.

It is an amenable number.

72787201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72787201 is an equidigital number, since it uses as much as digits as its factorization.

72787201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 72787201 is about 8531.5415371432. The cubic root of 72787201 is about 417.5274243044.

The spelling of 72787201 in words is "seventy-two million, seven hundred eighty-seven thousand, two hundred one".