72766053 has 16 divisors (see below), whose sum is σ = 107948800. Its totient is φ = 48444480.

The previous prime is 72766039. The next prime is 72766063. The reversal of 72766053 is 35066727.

It is a happy number.

It is not a de Polignac number, because 72766053 - 2⁶ = 72765989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72765999 and 72766017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72766003) 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, 25908 + ... + 28578.

It is an arithmetic number, because the mean of its divisors is an integer number (6746800).

Almost surely, 2^72766053 is an apocalyptic number.

It is an amenable number.

72766053 is a deficient number, since it is larger than the sum of its proper divisors (35182747).

72766053 is a wasteful number, since it uses less digits than its factorization.

72766053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72766053 is about 8530.3020462349. The cubic root of 72766053 is about 417.4869834707.

The spelling of 72766053 in words is "seventy-two million, seven hundred sixty-six thousand, fifty-three".