72225540 has 96 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 19094400.

The previous prime is 72225523. The next prime is 72225541. The reversal of 72225540 is 4552227.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72225541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70230 + ... + 71250.

It is an arithmetic number, because the mean of its divisors is an integer number (2360820).

Almost surely, 2^72225540 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 72225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

72225540 is an abundant number, since it is smaller than the sum of its proper divisors (154413180).

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

72225540 is a wasteful number, since it uses less digits than its factorization.

72225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 72225540 is about 8498.5610546727. The cubic root of 72225540 is about 416.4507026600.

Adding to 72225540 its reverse (4552227), we get a palindrome (76777767).

It can be divided in two parts, 722 and 25540, that added together give a palindrome (26262).

The spelling of 72225540 in words is "seventy-two million, two hundred twenty-five thousand, five hundred forty".