75394440 has 192 divisors, whose sum is σ = 271814400. Its totient is φ = 17971200.

The previous prime is 75394433. The next prime is 75394463. The reversal of 75394440 is 4449357.

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 = 75394395 and 75394404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312720 + ... + 312960.

It is an arithmetic number, because the mean of its divisors is an integer number (1415700).

Almost surely, 2^75394440 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 75394440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135907200).

75394440 is an abundant number, since it is smaller than the sum of its proper divisors (196419960).

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

75394440 is a wasteful number, since it uses less digits than its factorization.

75394440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

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

The square root of 75394440 is about 8682.9971783941. The cubic root of 75394440 is about 422.4543372333.

The spelling of 75394440 in words is "seventy-five million, three hundred ninety-four thousand, four hundred forty".