72038165 has 8 divisors (see below), whose sum is σ = 86636088. Its totient is φ = 57503680.

The previous prime is 72038147. The next prime is 72038171. The reversal of 72038165 is 56183027.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5827396 + 66210769 = 2414^2 + 8137^2 .

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

It is not a de Polignac number, because 72038165 - 2¹⁸ = 71776021 is a prime.

It is a Duffinian number.

It is a congruent 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, 13322 + ... + 17931.

It is an arithmetic number, because the mean of its divisors is an integer number (10829511).

Almost surely, 2^72038165 is an apocalyptic number.

It is an amenable number.

72038165 is a deficient number, since it is larger than the sum of its proper divisors (14597923).

72038165 is a wasteful number, since it uses less digits than its factorization.

72038165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31719.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72038165 is about 8487.5299704920. The cubic root of 72038165 is about 416.0902575516.

The spelling of 72038165 in words is "seventy-two million, thirty-eight thousand, one hundred sixty-five".