72313540 has 48 divisors (see below), whose sum is σ = 167982192. Its totient is φ = 25975296.

The previous prime is 72313537. The next prime is 72313547. The reversal of 72313540 is 4531327.

It can be written as a sum of positive squares in 8 ways, for example, as 3655744 + 68657796 = 1912^2 + 8286^2 .

It is not an unprimeable number, because it can be changed into a prime (72313547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5862 + ... + 13378.

It is an arithmetic number, because the mean of its divisors is an integer number (3499629).

Almost surely, 2^72313540 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 72313540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83991096).

72313540 is an abundant number, since it is smaller than the sum of its proper divisors (95668652).

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

72313540 is a wasteful number, since it uses less digits than its factorization.

72313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 72313540 is about 8503.7368256549. The cubic root of 72313540 is about 416.6197692995.

Adding to 72313540 its reverse (4531327), we get a palindrome (76844867).

The spelling of 72313540 in words is "seventy-two million, three hundred thirteen thousand, five hundred forty".