72573361 has 9 divisors (see below), whose sum is σ = 84491499. Its totient is φ = 62154624.

The previous prime is 72573353. The next prime is 72573367. The reversal of 72573361 is 16337527.

The square root of 72573361 is 8519.

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., 24354225 + 48219136 = 4935^2 + 6944^2 .

It is not a de Polignac number, because 72573361 - 2³ = 72573353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72573367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59025 + ... + 60241.

Almost surely, 2^72573361 is an apocalyptic number.

72573361 is the 8519-th square number.

72573361 is the 4260-th centered octagonal number.

It is an amenable number.

72573361 is a deficient number, since it is larger than the sum of its proper divisors (11918138).

72573361 is an frugal number, since it uses more digits than its factorization.

72573361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 1224 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The cubic root of 72573361 is about 417.1181415302.

The spelling of 72573361 in words is "seventy-two million, five hundred seventy-three thousand, three hundred sixty-one".