72743 has 8 divisors (see below), whose sum is σ = 84240. Its totient is φ = 62080.

The previous prime is 72739. The next prime is 72763. The reversal of 72743 is 34727.

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 72743 - 2² = 72739 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733) 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, 8 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2⁷²⁷⁴³ is an apocalyptic number.

72743 is a deficient number, since it is larger than the sum of its proper divisors (11497).

72743 is a wasteful number, since it uses less digits than its factorization.

72743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417.

The product of its digits is 1176, while the sum is 23.

The square root of 72743 is about 269.7091025531. The cubic root of 72743 is about 41.7442890822.

The spelling of 72743 in words is "seventy-two thousand, seven hundred forty-three", and thus it is an iban number.