72029137 has 2 divisors, whose sum is σ = 72029138. Its totient is φ = 72029136.

The previous prime is 72029107. The next prime is 72029179. The reversal of 72029137 is 73192027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 863041 = 8436^2 + 929^2 .

It is a cyclic number.

It is not a de Polignac number, because 72029137 - 2¹¹ = 72027089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72029099 and 72029108.

It is not a weakly prime, because it can be changed into another prime (72029107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36014568 + 36014569.

It is an arithmetic number, because the mean of its divisors is an integer number (36014569).

Almost surely, 2^72029137 is an apocalyptic number.

It is an amenable number.

72029137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72029137 is an equidigital number, since it uses as much as digits as its factorization.

72029137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 72029137 is about 8486.9981147635. The cubic root of 72029137 is about 416.0728750073.

The spelling of 72029137 in words is "seventy-two million, twenty-nine thousand, one hundred thirty-seven".