75072 has 56 divisors (see below), whose sum is σ = 219456. Its totient is φ = 22528.

The previous prime is 75041. The next prime is 75079. The reversal of 75072 is 27057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75079) by changing a digit.

75072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3253 + ... + 3275.

2⁷⁵⁰⁷² 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 75072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728).

75072 is an abundant number, since it is smaller than the sum of its proper divisors (144384).

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

75072 is a wasteful number, since it uses less digits than its factorization.

75072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 75072 is about 273.9927006327. The cubic root of 75072 is about 42.1851238717.

The spelling of 75072 in words is "seventy-five thousand, seventy-two".