75039840 has 216 divisors, whose sum is σ = 270938304. Its totient is φ = 18892800.

The previous prime is 75039817. The next prime is 75039841. The reversal of 75039840 is 4893057.

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 = 75039795 and 75039804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75039841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1830220 + ... + 1830260.

It is an arithmetic number, because the mean of its divisors is an integer number (1254344).

Almost surely, 2^75039840 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 75039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135469152).

75039840 is an abundant number, since it is smaller than the sum of its proper divisors (195898464).

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

75039840 is a wasteful number, since it uses less digits than its factorization.

75039840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75039840 is about 8662.5538959362. The cubic root of 75039840 is about 421.7909913382.

The spelling of 75039840 in words is "seventy-five million, thirty-nine thousand, eight hundred forty".