72243240 has 128 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 18330624.

The previous prime is 72243239. The next prime is 72243257. The reversal of 72243240 is 4234227.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72243240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235167 + ... + 235473.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 2^72243240 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 72243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

72243240 is an abundant number, since it is smaller than the sum of its proper divisors (155282520).

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

72243240 is a wasteful number, since it uses less digits than its factorization.

72243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 72243240 is about 8499.6023436394. The cubic root of 72243240 is about 416.4847191376.

Adding to 72243240 its reverse (4234227), we get a palindrome (76477467).

The spelling of 72243240 in words is "seventy-two million, two hundred forty-three thousand, two hundred forty".