75133740 has 144 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 17846400.

The previous prime is 75133703. The next prime is 75133741. The reversal of 75133740 is 4733157.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75133698 and 75133707.

It is not an unprimeable number, because it can be changed into a prime (75133741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573475 + ... + 573605.

It is an arithmetic number, because the mean of its divisors is an integer number (1638560).

Almost surely, 2^75133740 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 75133740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

75133740 is an abundant number, since it is smaller than the sum of its proper divisors (160818900).

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

75133740 is a wasteful number, since it uses less digits than its factorization.

75133740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 75133740 is about 8667.9720811733. The cubic root of 75133740 is about 421.9668519893.

Adding to 75133740 its reverse (4733157), we get a palindrome (79866897).

The spelling of 75133740 in words is "seventy-five million, one hundred thirty-three thousand, seven hundred forty".