725417761 has 8 divisors (see below), whose sum is σ = 768770784. Its totient is φ = 682140480.

The previous prime is 725417753. The next prime is 725417779. The reversal of 725417761 is 167714527.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 725417761 - 2³ = 725417753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725427761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1426 + ... + 38116.

It is an arithmetic number, because the mean of its divisors is an integer number (96096348).

Almost surely, 2^725417761 is an apocalyptic number.

It is an amenable number.

725417761 is a deficient number, since it is larger than the sum of its proper divisors (43353023).

725417761 is a wasteful number, since it uses less digits than its factorization.

725417761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37871.

The product of its digits is 82320, while the sum is 40.

The square root of 725417761 is about 26933.5805454826. The cubic root of 725417761 is about 898.5234063092.

The spelling of 725417761 in words is "seven hundred twenty-five million, four hundred seventeen thousand, seven hundred sixty-one".