72754240 has 56 divisors (see below), whose sum is σ = 186583320. Its totient is φ = 26861568.

The previous prime is 72754223. The next prime is 72754289. The reversal of 72754240 is 4245727.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 68293696 = 2112^2 + 8264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4585 + ... + 12904.

It is an arithmetic number, because the mean of its divisors is an integer number (3331845).

Almost surely, 2^72754240 is an apocalyptic number.

It is an amenable number.

72754240 is an abundant number, since it is smaller than the sum of its proper divisors (113829080).

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

72754240 is a wasteful number, since it uses less digits than its factorization.

72754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17519 (or 17509 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 72754240 is about 8529.6096041964. The cubic root of 72754240 is about 417.4643903318.

Adding to 72754240 its reverse (4245727), we get a palindrome (76999967).

The spelling of 72754240 in words is "seventy-two million, seven hundred fifty-four thousand, two hundred forty".