72037413 has 24 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 41050944.

The previous prime is 72037411. The next prime is 72037423. The reversal of 72037413 is 31473027.

It is not a de Polignac number, because 72037413 - 2¹ = 72037411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72037411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25033 + ... + 27761.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2^72037413 is an apocalyptic number.

It is an amenable number.

72037413 is a deficient number, since it is larger than the sum of its proper divisors (47208987).

72037413 is a wasteful number, since it uses less digits than its factorization.

72037413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72037413 is about 8487.4856700910. The cubic root of 72037413 is about 416.0888097034.

The spelling of 72037413 in words is "seventy-two million, thirty-seven thousand, four hundred thirteen".