72766038 has 8 divisors (see below), whose sum is σ = 145532088. Its totient is φ = 24255344.

The previous prime is 72766009. The next prime is 72766039. The reversal of 72766038 is 83066727.

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

72766038 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 72765987 and 72766005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72766039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6063831 + ... + 6063842.

It is an arithmetic number, because the mean of its divisors is an integer number (18191511).

Almost surely, 2^72766038 is an apocalyptic number.

72766038 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.

72766038 is a wasteful number, since it uses less digits than its factorization.

72766038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12127678.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 72766038 is about 8530.3011670163. The cubic root of 72766038 is about 417.4869547838.

The spelling of 72766038 in words is "seventy-two million, seven hundred sixty-six thousand, thirty-eight".