75240720 has 120 divisors (see below), whose sum is σ = 260911872. Its totient is φ = 19411200.

The previous prime is 75240719. The next prime is 75240731. The reversal of 75240720 is 2704257.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×75240720² = 11322331892236800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20635 + ... + 24005.

Almost surely, 2^75240720 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 75240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130455936).

75240720 is an abundant number, since it is smaller than the sum of its proper divisors (185671152).

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

75240720 is a wasteful number, since it uses less digits than its factorization.

75240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 75240720 is about 8674.1408796491. The cubic root of 75240720 is about 422.1670310541.

Adding to 75240720 its reverse (2704257), we get a palindrome (77944977).

The spelling of 75240720 in words is "seventy-five million, two hundred forty thousand, seven hundred twenty".