72782837 has 16 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 67666368.

The previous prime is 72782819. The next prime is 72782861. The reversal of 72782837 is 73828727.

It is a cyclic number.

It is not a de Polignac number, because 72782837 - 2¹⁴ = 72766453 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 (72782867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90923 + ... + 91719.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^72782837 is an apocalyptic number.

It is an amenable number.

72782837 is a deficient number, since it is larger than the sum of its proper divisors (5357323).

72782837 is a wasteful number, since it uses less digits than its factorization.

72782837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940.

The product of its digits is 263424, while the sum is 44.

The square root of 72782837 is about 8531.2857764818. The cubic root of 72782837 is about 417.5190797692.

The spelling of 72782837 in words is "seventy-two million, seven hundred eighty-two thousand, eight hundred thirty-seven".