72749 has 4 divisors (see below), whose sum is σ = 75936. Its totient is φ = 69564.

The previous prime is 72739. The next prime is 72763. The reversal of 72749 is 94727.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72749 - 2⁴ = 72733 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 (72719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1559 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (18984).

2⁷²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

72749 is a deficient number, since it is larger than the sum of its proper divisors (3187).

72749 is a wasteful number, since it uses less digits than its factorization.

72749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186.

The product of its digits is 3528, while the sum is 29.

The square root of 72749 is about 269.7202254189. The cubic root of 72749 is about 41.7454367704.

The spelling of 72749 in words is "seventy-two thousand, seven hundred forty-nine".