75973940 has 48 divisors (see below), whose sum is σ = 183816192. Its totient is φ = 25837056.

The previous prime is 75973927. The next prime is 75973993. The reversal of 75973940 is 4937957.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75973891 and 75973900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15644 + ... + 19916.

It is an arithmetic number, because the mean of its divisors is an integer number (3829504).

Almost surely, 2^75973940 is an apocalyptic number.

75973940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91908096).

75973940 is an abundant number, since it is smaller than the sum of its proper divisors (107842252).

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

75973940 is a wasteful number, since it uses less digits than its factorization.

75973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 44.

The square root of 75973940 is about 8716.3031154269. The cubic root of 75973940 is about 423.5339381703.

The spelling of 75973940 in words is "seventy-five million, nine hundred seventy-three thousand, nine hundred forty".