72038731 has 2 divisors, whose sum is σ = 72038732. Its totient is φ = 72038730.

The previous prime is 72038719. The next prime is 72038773. The reversal of 72038731 is 13783027.

It is a weak prime.

It is an emirp because it is prime and its reverse (13783027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72038731 - 2¹⁷ = 71907659 is a prime.

It is a super-2 number, since 2×72038731² = 10379157528180722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72038693 and 72038702.

It is not a weakly prime, because it can be changed into another prime (72038531) 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, 36019365 + 36019366.

It is an arithmetic number, because the mean of its divisors is an integer number (36019366).

Almost surely, 2^72038731 is an apocalyptic number.

72038731 is a deficient number, since it is larger than the sum of its proper divisors (1).

72038731 is an equidigital number, since it uses as much as digits as its factorization.

72038731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72038731 is about 8487.5633134605. The cubic root of 72038731 is about 416.0913472816.

The spelling of 72038731 in words is "seventy-two million, thirty-eight thousand, seven hundred thirty-one".