72235440 has 120 divisors (see below), whose sum is σ = 248609088. Its totient is φ = 18785280.

The previous prime is 72235439. The next prime is 72235451. The reversal of 72235440 is 4453227.

It is a tau number, because it is divible by the number of its divisors (120).

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, 28297 + ... + 30743.

Almost surely, 2^72235440 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 72235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

72235440 is an abundant number, since it is smaller than the sum of its proper divisors (176373648).

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

72235440 is a wasteful number, since it uses less digits than its factorization.

72235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 72235440 is about 8499.1434862579. The cubic root of 72235440 is about 416.4697295103.

Adding to 72235440 its reverse (4453227), we get a palindrome (76688667).

The spelling of 72235440 in words is "seventy-two million, two hundred thirty-five thousand, four hundred forty".