75013740 has 72 divisors (see below), whose sum is σ = 230329008. Its totient is φ = 19758720.

The previous prime is 75013733. The next prime is 75013747. The reversal of 75013740 is 4731057.

It is an interprime number because it is at equal distance from previous prime (75013733) and next prime (75013747).

It is a super-2 number, since 2×75013740² = 11254122377575200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75013747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12430 + ... + 17450.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^75013740 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 75013740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115164504).

75013740 is an abundant number, since it is smaller than the sum of its proper divisors (155315268).

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

75013740 is a wasteful number, since it uses less digits than its factorization.

75013740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 75013740 is about 8661.0472807854. The cubic root of 75013740 is about 421.7420838891.

Adding to 75013740 its reverse (4731057), we get a palindrome (79744797).

The spelling of 75013740 in words is "seventy-five million, thirteen thousand, seven hundred forty".