71927361 has 27 divisors (see below), whose sum is σ = 114644803. Its totient is φ = 43422720.

The previous prime is 71927327. The next prime is 71927377. The reversal of 71927361 is 16372917.

It is a happy number.

The square root of 71927361 is 8481.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70812225 + 1115136 = 8415^2 + 1056^2 .

It is not a de Polignac number, because 71927361 - 2⁹ = 71926849 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71927311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279745 + ... + 280001.

Almost surely, 2^71927361 is an apocalyptic number.

71927361 is the 8481-st square number.

71927361 is the 4241-st centered octagonal number.

It is an amenable number.

71927361 is a deficient number, since it is larger than the sum of its proper divisors (42717442).

71927361 is a wasteful number, since it uses less digits than its factorization.

71927361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The cubic root of 71927361 is about 415.8768145647.

Multiplying 71927361 by its sum of digits (36), we get a square (2589384996 = 50886²).

Multiplying 71927361 by its product of digits (15876), we get a square (1141918783236 = 1068606²).

The spelling of 71927361 in words is "seventy-one million, nine hundred twenty-seven thousand, three hundred sixty-one".