72351240 has 128 divisors (see below), whose sum is σ = 246153600. Its totient is φ = 16865280.

The previous prime is 72351239. The next prime is 72351289. The reversal of 72351240 is 4215327.

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 72351240.

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, 28420 + ... + 30860.

It is an arithmetic number, because the mean of its divisors is an integer number (1923075).

Almost surely, 2^72351240 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 72351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123076800).

72351240 is an abundant number, since it is smaller than the sum of its proper divisors (173802360).

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

72351240 is a wasteful number, since it uses less digits than its factorization.

72351240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72351240 is about 8505.9532093705. The cubic root of 72351240 is about 416.6921570183.

Adding to 72351240 its reverse (4215327), we get a palindrome (76566567).

The spelling of 72351240 in words is "seventy-two million, three hundred fifty-one thousand, two hundred forty".