72005726 has 8 divisors (see below), whose sum is σ = 116316984. Its totient is φ = 33233400.

The previous prime is 72005701. The next prime is 72005729. The reversal of 72005726 is 62750027.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005729) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1384700 + ... + 1384751.

It is an arithmetic number, because the mean of its divisors is an integer number (14539623).

Almost surely, 2^72005726 is an apocalyptic number.

72005726 is a deficient number, since it is larger than the sum of its proper divisors (44311258).

72005726 is a wasteful number, since it uses less digits than its factorization.

72005726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769466.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 72005726 is about 8485.6187753163. The cubic root of 72005726 is about 416.0277926143.

The spelling of 72005726 in words is "seventy-two million, five thousand, seven hundred twenty-six".