75819072 has 84 divisors (see below), whose sum is σ = 233385360. Its totient is φ = 21659904.

The previous prime is 75819061. The next prime is 75819077. The reversal of 75819072 is 27091857.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 75819072.

It is not an unprimeable number, because it can be changed into a prime (75819077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5379 + ... + 13437.

Almost surely, 2^75819072 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 75819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116692680).

75819072 is an abundant number, since it is smaller than the sum of its proper divisors (157566288).

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

75819072 is a wasteful number, since it uses less digits than its factorization.

75819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 75819072 is about 8707.4147713314. The cubic root of 75819072 is about 423.2459601577.

It can be divided in two parts, 7581 and 9072, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 75819072 in words is "seventy-five million, eight hundred nineteen thousand, seventy-two".