72003240 has 48 divisors (see below), whose sum is σ = 234011700. Its totient is φ = 19200768.

The previous prime is 72003229. The next prime is 72003263. The reversal of 72003240 is 4230027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 7650756 = 8022^2 + 2766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

72003240 is a modest number, since divided by 3240 gives 720 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99645 + ... + 100364.

Almost surely, 2^72003240 is an apocalyptic number.

It is an amenable number.

72003240 is an abundant number, since it is smaller than the sum of its proper divisors (162008460).

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

72003240 is a wasteful number, since it uses less digits than its factorization.

72003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200026 (or 200019 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72003240 is about 8485.4722909217. The cubic root of 72003240 is about 416.0230047682.

Adding to 72003240 its reverse (4230027), we get a palindrome (76233267).

It can be divided in two parts, 7200 and 3240, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 72003240 in words is "seventy-two million, three thousand, two hundred forty".