75048840 has 48 divisors (see below), whose sum is σ = 243909900. Its totient is φ = 20012928.

The previous prime is 75048833. The next prime is 75048847. The reversal of 75048840 is 4884057.

It is an interprime number because it is at equal distance from previous prime (75048833) and next prime (75048847).

It can be written as a sum of positive squares in 2 ways, for example, as 70862724 + 4186116 = 8418^2 + 2046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75048795 and 75048804.

It is not an unprimeable number, because it can be changed into a prime (75048847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103875 + ... + 104594.

Almost surely, 2^75048840 is an apocalyptic number.

It is an amenable number.

75048840 is an abundant number, since it is smaller than the sum of its proper divisors (168861060).

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

75048840 is a wasteful number, since it uses less digits than its factorization.

75048840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208486 (or 208479 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 75048840 is about 8663.0733576485. The cubic root of 75048840 is about 421.8078533463.

The spelling of 75048840 in words is "seventy-five million, forty-eight thousand, eight hundred forty".