72532723761 has 27 divisors (see below), whose sum is σ = 105883997401. Its totient is φ = 47846136264.

The previous prime is 72532723759. The next prime is 72532723793. The reversal of 72532723761 is 16732723527.

It is a happy number.

The square root of 72532723761 is 269319.

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

72532723761 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 272 + 376 + 1 = 666.

It is not a de Polignac number, because 72532723761 - 2¹ = 72532723759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72532723261) 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, 86450980 + ... + 86451818.

Almost surely, 2^72532723761 is an apocalyptic number.

72532723761 is the 269319-th square number.

72532723761 is the 134660-th centered octagonal number.

It is an amenable number.

72532723761 is a deficient number, since it is larger than the sum of its proper divisors (33351273640).

72532723761 is an frugal number, since it uses more digits than its factorization.

72532723761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 949 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 72532723761 in words is "seventy-two billion, five hundred thirty-two million, seven hundred twenty-three thousand, seven hundred sixty-one".