72520031 has 2 divisors, whose sum is σ = 72520032. Its totient is φ = 72520030.

The previous prime is 72520001. The next prime is 72520069. The reversal of 72520031 is 13002527.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72520031 - 2¹⁴ = 72503647 is a prime.

It is a super-2 number, since 2×72520031² = 10518309792481922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72519985 and 72520012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72520001) 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 as a sum of consecutive naturals, namely, 36260015 + 36260016.

It is an arithmetic number, because the mean of its divisors is an integer number (36260016).

Almost surely, 2^72520031 is an apocalyptic number.

72520031 is a deficient number, since it is larger than the sum of its proper divisors (1).

72520031 is an equidigital number, since it uses as much as digits as its factorization.

72520031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72520031 is about 8515.8693625490. The cubic root of 72520031 is about 417.0159444281.

Adding to 72520031 its reverse (13002527), we get a palindrome (85522558).

The spelling of 72520031 in words is "seventy-two million, five hundred twenty thousand, thirty-one".