72769 has 4 divisors (see below), whose sum is σ = 74196. Its totient is φ = 71344.

The previous prime is 72767. The next prime is 72797. The reversal of 72769 is 96727.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 96727 = 197 ⋅491.

It can be written as a sum of positive squares in 2 ways, for example, as 65025 + 7744 = 255^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 72769 - 2¹ = 72767 is a prime.

It is a super-2 number, since 2×72769² = 10590654722, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72769.

It is not an unprimeable number, because it can be changed into a prime (72763) 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, 634 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (18549).

2⁷²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

72769 is a deficient number, since it is larger than the sum of its proper divisors (1427).

72769 is a wasteful number, since it uses less digits than its factorization.

72769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426.

The product of its digits is 5292, while the sum is 31.

The square root of 72769 is about 269.7572983257. The cubic root of 72769 is about 41.7492619421.

It can be divided in two parts, 72 and 769, that added together give a square (841 = 29²).

The spelling of 72769 in words is "seventy-two thousand, seven hundred sixty-nine".