75443940 has 192 divisors, whose sum is σ = 276030720. Its totient is φ = 16865280.

The previous prime is 75443911. The next prime is 75443941. The reversal of 75443940 is 4934457.

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 = 75443895 and 75443904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75443941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76732 + ... + 77708.

It is an arithmetic number, because the mean of its divisors is an integer number (1437660).

Almost surely, 2^75443940 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 75443940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138015360).

75443940 is an abundant number, since it is smaller than the sum of its proper divisors (200586780).

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

75443940 is a wasteful number, since it uses less digits than its factorization.

75443940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 75443940 is about 8685.8471089468. The cubic root of 75443940 is about 422.5467707288.

The spelling of 75443940 in words is "seventy-five million, four hundred forty-three thousand, nine hundred forty".