75939648 has 56 divisors (see below), whose sum is σ = 202460352. Its totient is φ = 25119744.

The previous prime is 75939623. The next prime is 75939649. The reversal of 75939648 is 84693957.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75939648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75939649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24861 + ... + 27747.

Almost surely, 2^75939648 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 75939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101230176).

75939648 is an abundant number, since it is smaller than the sum of its proper divisors (126520704).

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

75939648 is a wasteful number, since it uses less digits than its factorization.

75939648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3029 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 75939648 is about 8714.3357750319. The cubic root of 75939648 is about 423.4702057398.

The spelling of 75939648 in words is "seventy-five million, nine hundred thirty-nine thousand, six hundred forty-eight".