72239311 has 16 divisors (see below), whose sum is σ = 77976160. Its totient is φ = 66718080.

The previous prime is 72239303. The next prime is 72239317. The reversal of 72239311 is 11393227.

It is a 7-Lehmer number, since φ(72239311) divides (72239311-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 72239311 - 2³ = 72239303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72239311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72239317) 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 15 ways as a sum of consecutive naturals, for example, 181765 + ... + 182161.

It is an arithmetic number, because the mean of its divisors is an integer number (4873510).

Almost surely, 2^72239311 is an apocalyptic number.

72239311 is a deficient number, since it is larger than the sum of its proper divisors (5736849).

72239311 is a wasteful number, since it uses less digits than its factorization.

72239311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634.

The product of its digits is 2268, while the sum is 28.

The square root of 72239311 is about 8499.3712120368. The cubic root of 72239311 is about 416.4771687281.

The spelling of 72239311 in words is "seventy-two million, two hundred thirty-nine thousand, three hundred eleven".