72049 has 4 divisors (see below), whose sum is σ = 72820. Its totient is φ = 71280.

The previous prime is 72047. The next prime is 72053. The reversal of 72049 is 94027.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 94027 = 17 ⋅5531.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 18225 = 232^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 72049 - 2¹ = 72047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043) 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, 222 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (18205).

2⁷²⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

72049 is a deficient number, since it is larger than the sum of its proper divisors (771).

72049 is a wasteful number, since it uses less digits than its factorization.

72049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 72049 is about 268.4194478796. The cubic root of 72049 is about 41.6111117383.

Subtracting from 72049 its sum of digits (22), we obtain a palindrome (72027).

The spelling of 72049 in words is "seventy-two thousand, forty-nine".