75442464 has 144 divisors (see below), whose sum is σ = 239410080. Its totient is φ = 22394880.

The previous prime is 75442463. The next prime is 75442489. The reversal of 75442464 is 46424457.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75442463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92619 + ... + 93429.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 2^75442464 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 75442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119705040).

75442464 is an abundant number, since it is smaller than the sum of its proper divisors (163967616).

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

75442464 is a wasteful number, since it uses less digits than its factorization.

75442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 852 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 75442464 is about 8685.7621427253. The cubic root of 75442464 is about 422.5440151150.

The spelling of 75442464 in words is "seventy-five million, four hundred forty-two thousand, four hundred sixty-four".