72005291 has 4 divisors (see below), whose sum is σ = 72666000. Its totient is φ = 71344584.

The previous prime is 72005287. The next prime is 72005299. The reversal of 72005291 is 19250027.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72005291 - 2² = 72005287 is a prime.

It is a Duffinian number.

72005291 is a modest number, since divided by 5291 gives 72 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 72005291.

It is not an unprimeable number, because it can be changed into a prime (72005299) 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, 330191 + ... + 330408.

It is an arithmetic number, because the mean of its divisors is an integer number (18166500).

Almost surely, 2^72005291 is an apocalyptic number.

72005291 is a deficient number, since it is larger than the sum of its proper divisors (660709).

72005291 is a wasteful number, since it uses less digits than its factorization.

72005291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660708.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 72005291 is about 8485.5931436759. The cubic root of 72005291 is about 416.0269548455.

The spelling of 72005291 in words is "seventy-two million, five thousand, two hundred ninety-one".