75081072 has 80 divisors (see below), whose sum is σ = 215664768. Its totient is φ = 22314240.

The previous prime is 75081067. The next prime is 75081073. The reversal of 75081072 is 27018057.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75081073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26643 + ... + 29325.

Almost surely, 2^75081072 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 75081072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107832384).

75081072 is an abundant number, since it is smaller than the sum of its proper divisors (140583696).

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

75081072 is a wasteful number, since it uses less digits than its factorization.

75081072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 75081072 is about 8664.9334677192. The cubic root of 75081072 is about 421.8682307611.

The spelling of 75081072 in words is "seventy-five million, eighty-one thousand, seventy-two".