72727240 has 64 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 27793920.

The previous prime is 72727229. The next prime is 72727243. The reversal of 72727240 is 4272727.

72727240 = 140² + 141² + ... + 604².

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (72727243) 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, 110031 + ... + 110689.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2^72727240 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 72727240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536000).

72727240 is an abundant number, since it is smaller than the sum of its proper divisors (98344760).

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

72727240 is a wasteful number, since it uses less digits than its factorization.

72727240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 31.

The square root of 72727240 is about 8528.0267354178. The cubic root of 72727240 is about 417.4127418727.

Adding to 72727240 its reverse (4272727), we get a palindrome (76999967).

The spelling of 72727240 in words is "seventy-two million, seven hundred twenty-seven thousand, two hundred forty".