72624109 has 2 divisors, whose sum is σ = 72624110. Its totient is φ = 72624108.

The previous prime is 72624107. The next prime is 72624143. The reversal of 72624109 is 90142627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39100009 + 33524100 = 6253^2 + 5790^2 .

It is an emirp because it is prime and its reverse (90142627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72624109 - 2¹ = 72624107 is a prime.

It is a super-2 number, since 2×72624109² = 10548522416087762, which contains 22 as substring.

Together with 72624107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72624107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36312054 + 36312055.

It is an arithmetic number, because the mean of its divisors is an integer number (36312055).

Almost surely, 2^72624109 is an apocalyptic number.

It is an amenable number.

72624109 is a deficient number, since it is larger than the sum of its proper divisors (1).

72624109 is an equidigital number, since it uses as much as digits as its factorization.

72624109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 72624109 is about 8521.9779980941. The cubic root of 72624109 is about 417.2153442277.

The spelling of 72624109 in words is "seventy-two million, six hundred twenty-four thousand, one hundred nine".