75048672 has 48 divisors (see below), whose sum is σ = 199720080. Its totient is φ = 24671232.

The previous prime is 75048647. The next prime is 75048679. The reversal of 75048672 is 27684057.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 75048672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75048679) 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, 1654 + ... + 12362.

It is an arithmetic number, because the mean of its divisors is an integer number (4160835).

Almost surely, 2^75048672 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 75048672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99860040).

75048672 is an abundant number, since it is smaller than the sum of its proper divisors (124671408).

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

75048672 is a wasteful number, since it uses less digits than its factorization.

75048672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795 (or 10787 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 75048672 is about 8663.0636613152. The cubic root of 75048672 is about 421.8075386011.

The spelling of 75048672 in words is "seventy-five million, forty-eight thousand, six hundred seventy-two".