72790385 has 8 divisors (see below), whose sum is σ = 88780776. Its totient is φ = 57277440.

The previous prime is 72790373. The next prime is 72790427. The reversal of 72790385 is 58309727.

It can be written as a sum of positive squares in 4 ways, for example, as 3301489 + 69488896 = 1817^2 + 8336^2 .

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

It is not a de Polignac number, because 72790385 - 2²⁰ = 71741809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 119024 + ... + 119633.

It is an arithmetic number, because the mean of its divisors is an integer number (11097597).

Almost surely, 2^72790385 is an apocalyptic number.

It is an amenable number.

72790385 is a deficient number, since it is larger than the sum of its proper divisors (15990391).

72790385 is a wasteful number, since it uses less digits than its factorization.

72790385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238723.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 72790385 is about 8531.7281367845. The cubic root of 72790385 is about 417.5335123158.

The spelling of 72790385 in words is "seventy-two million, seven hundred ninety thousand, three hundred eighty-five".