72563131 has 2 divisors, whose sum is σ = 72563132. Its totient is φ = 72563130.

The previous prime is 72563119. The next prime is 72563167. The reversal of 72563131 is 13136527.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72563131 - 2²¹ = 70465979 is a prime.

It is a super-2 number, since 2×72563131² = 10530815961046322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72563131.

It is not a weakly prime, because it can be changed into another prime (72563171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36281565 + 36281566.

It is an arithmetic number, because the mean of its divisors is an integer number (36281566).

Almost surely, 2^72563131 is an apocalyptic number.

72563131 is a deficient number, since it is larger than the sum of its proper divisors (1).

72563131 is an equidigital number, since it uses as much as digits as its factorization.

72563131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 72563131 is about 8518.3995562547. The cubic root of 72563131 is about 417.0985415050.

Adding to 72563131 its reverse (13136527), we get a palindrome (85699658).

The spelling of 72563131 in words is "seventy-two million, five hundred sixty-three thousand, one hundred thirty-one".