72967883 has 4 divisors (see below), whose sum is σ = 73021080. Its totient is φ = 72914688.

The previous prime is 72967877. The next prime is 72967889. The reversal of 72967883 is 38876927.

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: 38876927 = 79 ⋅492113.

It is an interprime number because it is at equal distance from previous prime (72967877) and next prime (72967889).

It is a cyclic number.

It is not a de Polignac number, because 72967883 - 2⁸ = 72967627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72967889) 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, 24485 + ... + 27302.

It is an arithmetic number, because the mean of its divisors is an integer number (18255270).

Almost surely, 2^72967883 is an apocalyptic number.

72967883 is a deficient number, since it is larger than the sum of its proper divisors (53197).

72967883 is a wasteful number, since it uses less digits than its factorization.

72967883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53196.

The product of its digits is 1016064, while the sum is 50.

The square root of 72967883 is about 8542.1240332835. The cubic root of 72967883 is about 417.8726193976.

The spelling of 72967883 in words is "seventy-two million, nine hundred sixty-seven thousand, eight hundred eighty-three".