715743 has 24 divisors (see below), whose sum is σ = 1235760. Its totient is φ = 408240.

The previous prime is 715739. The next prime is 715753. The reversal of 715743 is 347517.

It is not a de Polignac number, because 715743 - 2² = 715739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

715743 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (51490).

2⁷¹⁵⁷⁴³ is an apocalyptic number.

715743 is a deficient number, since it is larger than the sum of its proper divisors (520017).

715743 is a wasteful number, since it uses less digits than its factorization.

715743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 715743 is about 846.0159572963. The cubic root of 715743 is about 89.4511036140.

Subtracting from 715743 its sum of digits (27), we obtain a square (715716 = 846²).

The spelling of 715743 in words is "seven hundred fifteen thousand, seven hundred forty-three".