725071347 has 144 divisors (see below), whose sum is σ = 1458003456. Its totient is φ = 336960000.

The previous prime is 725071313. The next prime is 725071349. The reversal of 725071347 is 743170527.

It is not a de Polignac number, because 725071347 - 2¹⁰ = 725070323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725071349) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4801722 + ... + 4801872.

It is an arithmetic number, because the mean of its divisors is an integer number (10125024).

Almost surely, 2^725071347 is an apocalyptic number.

725071347 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

725071347 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

725071347 is a wasteful number, since it uses less digits than its factorization.

725071347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 725071347 is about 26927.1488836082. The cubic root of 725071347 is about 898.3803574053.

The spelling of 725071347 in words is "seven hundred twenty-five million, seventy-one thousand, three hundred forty-seven".