75738448 has 40 divisors (see below), whose sum is σ = 153883008. Its totient is φ = 36043392.

The previous prime is 75738433. The next prime is 75738457. The reversal of 75738448 is 84483757.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 75738398 and 75738407.

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 7 ways as a sum of consecutive naturals, for example, 101565 + ... + 102307.

Almost surely, 2^75738448 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 75738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76941504).

75738448 is an abundant number, since it is smaller than the sum of its proper divisors (78144560).

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

75738448 is a wasteful number, since it uses less digits than its factorization.

75738448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its digits is 752640, while the sum is 46.

The square root of 75738448 is about 8702.7839224009. The cubic root of 75738448 is about 423.0958840885.

The spelling of 75738448 in words is "seventy-five million, seven hundred thirty-eight thousand, four hundred forty-eight".