72033938 has 16 divisors (see below), whose sum is σ = 110129280. Its totient is φ = 35330256.

The previous prime is 72033937. The next prime is 72033979. The reversal of 72033938 is 83933027.

It is a junction number, because it is equal to n+sod(n) for n = 72033898 and 72033907.

It is not an unprimeable number, because it can be changed into a prime (72033937) 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 7 ways as a sum of consecutive naturals, for example, 24356 + ... + 27152.

It is an arithmetic number, because the mean of its divisors is an integer number (6883080).

Almost surely, 2^72033938 is an apocalyptic number.

72033938 is a deficient number, since it is larger than the sum of its proper divisors (38095342).

72033938 is a wasteful number, since it uses less digits than its factorization.

72033938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 72033938 is about 8487.2809544636. The cubic root of 72033938 is about 416.0821190511.

The spelling of 72033938 in words is "seventy-two million, thirty-three thousand, nine hundred thirty-eight".