72533827 has 2 divisors, whose sum is σ = 72533828. Its totient is φ = 72533826.

The previous prime is 72533809. The next prime is 72533837. The reversal of 72533827 is 72833527.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72533827 - 2¹¹ = 72531779 is a prime.

It is a super-2 number, since 2×72533827² = 10522312118531858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72533837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36266913 + 36266914.

It is an arithmetic number, because the mean of its divisors is an integer number (36266914).

Almost surely, 2^72533827 is an apocalyptic number.

72533827 is a deficient number, since it is larger than the sum of its proper divisors (1).

72533827 is an equidigital number, since it uses as much as digits as its factorization.

72533827 is an evil number, because the sum of its binary digits is even.

The product of its digits is 70560, while the sum is 37.

The square root of 72533827 is about 8516.6793411517. The cubic root of 72533827 is about 417.0423867186.

The spelling of 72533827 in words is "seventy-two million, five hundred thirty-three thousand, eight hundred twenty-seven".