72111533 has 8 divisors (see below), whose sum is σ = 77746200. Its totient is φ = 66489408.

The previous prime is 72111527. The next prime is 72111539. The reversal of 72111533 is 33511127.

It is an interprime number because it is at equal distance from previous prime (72111527) and next prime (72111539).

It can be written as a sum of positive squares in 4 ways, for example, as 7823209 + 64288324 = 2797^2 + 8018^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72111533 - 2⁶ = 72111469 is a prime.

It is a super-2 number, since 2×72111533² = 10400146383220178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72111499 and 72111508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72111539) 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 7 ways as a sum of consecutive naturals, for example, 11303 + ... + 16491.

It is an arithmetic number, because the mean of its divisors is an integer number (9718275).

Almost surely, 2^72111533 is an apocalyptic number.

It is an amenable number.

72111533 is a deficient number, since it is larger than the sum of its proper divisors (5634667).

72111533 is a wasteful number, since it uses less digits than its factorization.

72111533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271.

The product of its digits is 630, while the sum is 23.

The square root of 72111533 is about 8491.8509760829. The cubic root of 72111533 is about 416.2314667385.

The spelling of 72111533 in words is "seventy-two million, one hundred eleven thousand, five hundred thirty-three".