72377 has 4 divisors (see below), whose sum is σ = 72996. Its totient is φ = 71760.

The previous prime is 72367. The next prime is 72379. The reversal of 72377 is 77327.

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: 77327 = 53 ⋅1459.

It can be written as a sum of positive squares in 2 ways, for example, as 22201 + 50176 = 149^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 72377 - 2⁶ = 72313 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72377.

It is not an unprimeable number, because it can be changed into a prime (72379) 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, 74 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (18249).

2⁷²³⁷⁷ is an apocalyptic number.

It is an amenable number.

72377 is a deficient number, since it is larger than the sum of its proper divisors (619).

72377 is a wasteful number, since it uses less digits than its factorization.

72377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618.

The product of its digits is 2058, while the sum is 26.

The square root of 72377 is about 269.0297381332. The cubic root of 72377 is about 41.6741604299.

Subtracting 72377 from its reverse (77327), we obtain a triangular number (4950 = T₉₉).

The spelling of 72377 in words is "seventy-two thousand, three hundred seventy-seven", and thus it is an iban number.