772288361 has 16 divisors (see below), whose sum is σ = 840766080. Its totient is φ = 705144960.

The previous prime is 772288351. The next prime is 772288367. The reversal of 772288361 is 163882277.

It is a happy number.

It is not a de Polignac number, because 772288361 - 2¹⁴ = 772271977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772288367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747101 + ... + 748133.

It is an arithmetic number, because the mean of its divisors is an integer number (52547880).

Almost surely, 2^772288361 is an apocalyptic number.

It is an amenable number.

772288361 is a deficient number, since it is larger than the sum of its proper divisors (68477719).

772288361 is a wasteful number, since it uses less digits than its factorization.

772288361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616.

The product of its digits is 225792, while the sum is 44.

The square root of 772288361 is about 27790.0766641620. The cubic root of 772288361 is about 917.4727271280.

The spelling of 772288361 in words is "seven hundred seventy-two million, two hundred eighty-eight thousand, three hundred sixty-one".