72033040 has 80 divisors (see below), whose sum is σ = 173024640. Its totient is φ = 27878400.

The previous prime is 72033037. The next prime is 72033053. The reversal of 72033040 is 4033027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 72032999 and 72033017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476965 + ... + 477115.

It is an arithmetic number, because the mean of its divisors is an integer number (2162808).

Almost surely, 2^72033040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512320).

72033040 is an abundant number, since it is smaller than the sum of its proper divisors (100991600).

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

72033040 is a wasteful number, since it uses less digits than its factorization.

72033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 72033040 is about 8487.2280516079. The cubic root of 72033040 is about 416.0803900360.

Adding to 72033040 its reverse (4033027), we get a palindrome (76066067).

The spelling of 72033040 in words is "seventy-two million, thirty-three thousand, forty".