72333440 has 32 divisors (see below), whose sum is σ = 172923660. Its totient is φ = 28933120.

The previous prime is 72333433. The next prime is 72333461. The reversal of 72333440 is 4433327.

It can be written as a sum of positive squares in 2 ways, for example, as 72046144 + 287296 = 8488^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 55871 + ... + 57150.

Almost surely, 2^72333440 is an apocalyptic number.

It is an amenable number.

72333440 is an abundant number, since it is smaller than the sum of its proper divisors (100590220).

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

72333440 is a wasteful number, since it uses less digits than its factorization.

72333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113040 (or 113028 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 26.

The square root of 72333440 is about 8504.9068190075. The cubic root of 72333440 is about 416.6579823968.

Adding to 72333440 its reverse (4433327), we get a palindrome (76766767).

The spelling of 72333440 in words is "seventy-two million, three hundred thirty-three thousand, four hundred forty".