72307040 has 48 divisors (see below), whose sum is σ = 183971088. Its totient is φ = 26697216.

The previous prime is 72307033. The next prime is 72307049. The reversal of 72307040 is 4070327.

It is a junction number, because it is equal to n+sod(n) for n = 72306997 and 72307015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72307049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15302 + ... + 19461.

It is an arithmetic number, because the mean of its divisors is an integer number (3832731).

Almost surely, 2^72307040 is an apocalyptic number.

It is an amenable number.

72307040 is an abundant number, since it is smaller than the sum of its proper divisors (111664048).

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

72307040 is a wasteful number, since it uses less digits than its factorization.

72307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34791 (or 34783 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 72307040 is about 8503.3546321437. The cubic root of 72307040 is about 416.6072861157.

Adding to 72307040 its reverse (4070327), we get a palindrome (76377367).

The spelling of 72307040 in words is "seventy-two million, three hundred seven thousand, forty".