72905766 has 8 divisors (see below), whose sum is σ = 145811544. Its totient is φ = 24301920.

The previous prime is 72905759. The next prime is 72905771. The reversal of 72905766 is 66750927.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

72905766 is an admirable number.

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, 6075475 + ... + 6075486.

It is an arithmetic number, because the mean of its divisors is an integer number (18226443).

Almost surely, 2^72905766 is an apocalyptic number.

72905766 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72905766 is a wasteful number, since it uses less digits than its factorization.

72905766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150966.

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 72905766 is about 8538.4873367594. The cubic root of 72905766 is about 417.7540084801.

The spelling of 72905766 in words is "seventy-two million, nine hundred five thousand, seven hundred sixty-six".