72030240 has 72 divisors (see below), whose sum is σ = 245808108. Its totient is φ = 19207680.

The previous prime is 72030221. The next prime is 72030247. The reversal of 72030240 is 4203027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 51984 = 8484^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (72030247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23571 + ... + 26450.

Almost surely, 2^72030240 is an apocalyptic number.

It is an amenable number.

72030240 is an abundant number, since it is smaller than the sum of its proper divisors (173777868).

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

72030240 is a wasteful number, since it uses less digits than its factorization.

72030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50042 (or 50031 counting only the distinct ones).

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

The square root of 72030240 is about 8487.0630962660. The cubic root of 72030240 is about 416.0749988054.

Adding to 72030240 its reverse (4203027), we get a palindrome (76233267).

The spelling of 72030240 in words is "seventy-two million, thirty thousand, two hundred forty".