75405072 has 80 divisors (see below), whose sum is σ = 207576000. Its totient is φ = 23519232.

The previous prime is 75405049. The next prime is 75405073. The reversal of 75405072 is 27050457.

It is not an unprimeable number, because it can be changed into a prime (75405073) 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, 80704 + ... + 81632.

It is an arithmetic number, because the mean of its divisors is an integer number (2594700).

Almost surely, 2^75405072 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 75405072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103788000).

75405072 is an abundant number, since it is smaller than the sum of its proper divisors (132170928).

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

75405072 is a wasteful number, since it uses less digits than its factorization.

75405072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 75405072 is about 8683.6093878064. The cubic root of 75405072 is about 422.4741942387.

The spelling of 75405072 in words is "seventy-five million, four hundred five thousand, seventy-two".