72438037 has 16 divisors (see below), whose sum is σ = 88490880. Its totient is φ = 57881088.

The previous prime is 72438019. The next prime is 72438053. The reversal of 72438037 is 73083427.

It is a cyclic number.

It is not a de Polignac number, because 72438037 - 2¹⁹ = 71913749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72437993 and 72438011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72438007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9889 + ... + 15577.

It is an arithmetic number, because the mean of its divisors is an integer number (5530680).

Almost surely, 2^72438037 is an apocalyptic number.

It is an amenable number.

72438037 is a deficient number, since it is larger than the sum of its proper divisors (16052843).

72438037 is a wasteful number, since it uses less digits than its factorization.

72438037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 72438037 is about 8511.0538125428. The cubic root of 72438037 is about 416.8587202812.

The spelling of 72438037 in words is "seventy-two million, four hundred thirty-eight thousand, thirty-seven".