75435048 has 96 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 22907520.

The previous prime is 75435011. The next prime is 75435049. The reversal of 75435048 is 84053457.

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 (75435049) 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, 77203 + ... + 78173.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^75435048 is an apocalyptic number.

75435048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75435048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

75435048 is an abundant number, since it is smaller than the sum of its proper divisors (147463992).

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

75435048 is a wasteful number, since it uses less digits than its factorization.

75435048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 75435048 is about 8685.3352266910. The cubic root of 75435048 is about 422.5301692916.

The spelling of 75435048 in words is "seventy-five million, four hundred thirty-five thousand, forty-eight".