72033918 has 32 divisors (see below), whose sum is σ = 159328512. Its totient is φ = 21528000.

The previous prime is 72033917. The next prime is 72033919. The reversal of 72033918 is 81933027.

It is an interprime number because it is at equal distance from previous prime (72033917) and next prime (72033919).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72033917) 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, 2658 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (4979016).

Almost surely, 2^72033918 is an apocalyptic number.

72033918 is an abundant number, since it is smaller than the sum of its proper divisors (87294594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72033918 is a wasteful number, since it uses less digits than its factorization.

72033918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15040.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72033918 is about 8487.2797762298. The cubic root of 72033918 is about 416.0820805431.

The spelling of 72033918 in words is "seventy-two million, thirty-three thousand, nine hundred eighteen".