72837649 has 2 divisors, whose sum is σ = 72837650. Its totient is φ = 72837648.

The previous prime is 72837641. The next prime is 72837727. The reversal of 72837649 is 94673827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57274624 + 15563025 = 7568^2 + 3945^2 .

It is a cyclic number.

It is not a de Polignac number, because 72837649 - 2³ = 72837641 is a prime.

It is a super-2 number, since 2×72837649² = 10610646223694402, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72837599 and 72837608.

It is not a weakly prime, because it can be changed into another prime (72837641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36418824 + 36418825.

It is an arithmetic number, because the mean of its divisors is an integer number (36418825).

Almost surely, 2^72837649 is an apocalyptic number.

It is an amenable number.

72837649 is a deficient number, since it is larger than the sum of its proper divisors (1).

72837649 is an equidigital number, since it uses as much as digits as its factorization.

72837649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 508032, while the sum is 46.

The square root of 72837649 is about 8534.4975833379. The cubic root of 72837649 is about 417.6238632333.

The spelling of 72837649 in words is "seventy-two million, eight hundred thirty-seven thousand, six hundred forty-nine".