725278761 has 27 divisors (see below), whose sum is σ = 1076022493. Its totient is φ = 470753880.

The previous prime is 725278751. The next prime is 725278781. The reversal of 725278761 is 167872527.

The square root of 725278761 is 26931.

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

It is not a de Polignac number, because 725278761 - 2¹⁹ = 724754473 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725278751) 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, 3797176 + ... + 3797366.

Almost surely, 2^725278761 is an apocalyptic number.

725278761 is the 26931-st square number.

725278761 is the 13466-th centered octagonal number.

It is an amenable number.

725278761 is a deficient number, since it is larger than the sum of its proper divisors (350743732).

725278761 is an equidigital number, since it uses as much as digits as its factorization.

725278761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The cubic root of 725278761 is about 898.4660128374.

The spelling of 725278761 in words is "seven hundred twenty-five million, two hundred seventy-eight thousand, seven hundred sixty-one".