72302240 has 48 divisors (see below), whose sum is σ = 172095840. Its totient is φ = 28704000.

The previous prime is 72302233. The next prime is 72302257. The reversal of 72302240 is 4220327.

It is a happy number.

It is a super-2 number, since 2×72302240² = 10455227818035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20615 + ... + 23865.

It is an arithmetic number, because the mean of its divisors is an integer number (3585330).

Almost surely, 2^72302240 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 72302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86047920).

72302240 is an abundant number, since it is smaller than the sum of its proper divisors (99793600).

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

72302240 is a wasteful number, since it uses less digits than its factorization.

72302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 72302240 is about 8503.0723859085. The cubic root of 72302240 is about 416.5980672843.

Adding to 72302240 its reverse (4220327), we get a palindrome (76522567).

The spelling of 72302240 in words is "seventy-two million, three hundred two thousand, two hundred forty".