72886743 has 16 divisors (see below), whose sum is σ = 109350400. Its totient is φ = 47974680.

The previous prime is 72886727. The next prime is 72886757. The reversal of 72886743 is 34768827.

It is a happy number.

It is not a de Polignac number, because 72886743 - 2⁴ = 72886727 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 (72886703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14953 + ... + 19218.

It is an arithmetic number, because the mean of its divisors is an integer number (6834400).

Almost surely, 2^72886743 is an apocalyptic number.

72886743 is a deficient number, since it is larger than the sum of its proper divisors (36463657).

72886743 is a wasteful number, since it uses less digits than its factorization.

72886743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34259 (or 34253 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 72886743 is about 8537.3733079912. The cubic root of 72886743 is about 417.7176710443.

The spelling of 72886743 in words is "seventy-two million, eight hundred eighty-six thousand, seven hundred forty-three".