75383040 has 144 divisors (see below), whose sum is σ = 245181888. Its totient is φ = 19734528.

The previous prime is 75383003. The next prime is 75383047. The reversal of 75383040 is 4038357.

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 = 75382989 and 75383007.

It is not an unprimeable number, because it can be changed into a prime (75383047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257134 + ... + 257426.

It is an arithmetic number, because the mean of its divisors is an integer number (1702652).

Almost surely, 2^75383040 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 75383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122590944).

75383040 is an abundant number, since it is smaller than the sum of its proper divisors (169798848).

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

75383040 is a wasteful number, since it uses less digits than its factorization.

75383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75383040 is about 8682.3406982219. The cubic root of 75383040 is about 422.4330437878.

The spelling of 75383040 in words is "seventy-five million, three hundred eighty-three thousand, forty".