72033336 has 96 divisors (see below), whose sum is σ = 205171200. Its totient is φ = 22800960.

The previous prime is 72033329. The next prime is 72033343. The reversal of 72033336 is 63333027.

It is an interprime number because it is at equal distance from previous prime (72033329) and next prime (72033343).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131415 + ... + 131961.

It is an arithmetic number, because the mean of its divisors is an integer number (2137200).

Almost surely, 2^72033336 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 72033336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102585600).

72033336 is an abundant number, since it is smaller than the sum of its proper divisors (133137864).

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

72033336 is a wasteful number, since it uses less digits than its factorization.

72033336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 72033336 is about 8487.2454895567. The cubic root of 72033336 is about 416.0809599579.

The spelling of 72033336 in words is "seventy-two million, thirty-three thousand, three hundred thirty-six".