72345629 has 2 divisors, whose sum is σ = 72345630. Its totient is φ = 72345628.

The previous prime is 72345617. The next prime is 72345631. The reversal of 72345629 is 92654327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45024100 + 27321529 = 6710^2 + 5227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72345629 is a prime.

Together with 72345631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72345592 and 72345601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72345029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36172814 + 36172815.

It is an arithmetic number, because the mean of its divisors is an integer number (36172815).

Almost surely, 2^72345629 is an apocalyptic number.

It is an amenable number.

72345629 is a deficient number, since it is larger than the sum of its proper divisors (1).

72345629 is an equidigital number, since it uses as much as digits as its factorization.

72345629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 38.

The square root of 72345629 is about 8505.6233751560. The cubic root of 72345629 is about 416.6813849379.

The spelling of 72345629 in words is "seventy-two million, three hundred forty-five thousand, six hundred twenty-nine".