72029581 has 12 divisors (see below), whose sum is σ = 78699292. Its totient is φ = 65528064.

The previous prime is 72029557. The next prime is 72029599. The reversal of 72029581 is 18592027.

It can be written as a sum of positive squares in 2 ways, for example, as 20620681 + 51408900 = 4541^2 + 7170^2 .

It is not a de Polignac number, because 72029581 - 2⁵ = 72029549 is a prime.

It is a super-2 number, since 2×72029581² = 10376521078071122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72029081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301260 + ... + 301498.

Almost surely, 2^72029581 is an apocalyptic number.

It is an amenable number.

72029581 is a deficient number, since it is larger than the sum of its proper divisors (6669711).

72029581 is an equidigital number, since it uses as much as digits as its factorization.

72029581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 72029581 is about 8487.0242723819. The cubic root of 72029581 is about 416.0737299205.

The spelling of 72029581 in words is "seventy-two million, twenty-nine thousand, five hundred eighty-one".