75742848 has 96 divisors (see below), whose sum is σ = 223974660. Its totient is φ = 24551424.

The previous prime is 75742819. The next prime is 75742859. The reversal of 75742848 is 84824757.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 3968064 = 8472^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×75742848² = 11473958046302208, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 41736 + ... + 43512.

Almost surely, 2^75742848 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 75742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111987330).

75742848 is an abundant number, since it is smaller than the sum of its proper divisors (148231812).

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

75742848 is a wasteful number, since it uses less digits than its factorization.

75742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1819 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 75742848 is about 8703.0367114014. The cubic root of 75742848 is about 423.1040771349.

The spelling of 75742848 in words is "seventy-five million, seven hundred forty-two thousand, eight hundred forty-eight".