72766040 has 16 divisors (see below), whose sum is σ = 163723680. Its totient is φ = 29106400.

The previous prime is 72766039. The next prime is 72766063. The reversal of 72766040 is 4066727.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72765988 and 72766006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 909536 + ... + 909615.

It is an arithmetic number, because the mean of its divisors is an integer number (10232730).

Almost surely, 2^72766040 is an apocalyptic number.

It is an amenable number.

72766040 is an abundant number, since it is smaller than the sum of its proper divisors (90957640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72766040 is a wasteful number, since it uses less digits than its factorization.

72766040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819162 (or 1819158 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 72766040 is about 8530.3012842455. The cubic root of 72766040 is about 417.4869586087.

The spelling of 72766040 in words is "seventy-two million, seven hundred sixty-six thousand, forty".