72400429 has 2 divisors, whose sum is σ = 72400430. Its totient is φ = 72400428.

The previous prime is 72400417. The next prime is 72400439. The reversal of 72400429 is 92400427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62173225 + 10227204 = 7885^2 + 3198^2 .

It is a cyclic number.

It is not a de Polignac number, because 72400429 - 2⁵ = 72400397 is a prime.

It is equal to p_4250953 and since 72400429 and 4250953 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 72400397 and 72400406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72400439) 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, 36200214 + 36200215.

It is an arithmetic number, because the mean of its divisors is an integer number (36200215).

Almost surely, 2^72400429 is an apocalyptic number.

It is an amenable number.

72400429 is a deficient number, since it is larger than the sum of its proper divisors (1).

72400429 is an equidigital number, since it uses as much as digits as its factorization.

72400429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72400429 is about 8508.8441635747. The cubic root of 72400429 is about 416.7865669519.

The spelling of 72400429 in words is "seventy-two million, four hundred thousand, four hundred twenty-nine".