72113029 has 2 divisors, whose sum is σ = 72113030. Its totient is φ = 72113028.

The previous prime is 72113003. The next prime is 72113039. The reversal of 72113029 is 92031127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44916804 + 27196225 = 6702^2 + 5215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72113029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72112994 and 72113012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72113039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36056514 + 36056515.

It is an arithmetic number, because the mean of its divisors is an integer number (36056515).

Almost surely, 2^72113029 is an apocalyptic number.

It is an amenable number.

72113029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72113029 is an equidigital number, since it uses as much as digits as its factorization.

72113029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 72113029 is about 8491.9390600734. The cubic root of 72113029 is about 416.2343450482.

The spelling of 72113029 in words is "seventy-two million, one hundred thirteen thousand, twenty-nine".