975072 has 48 divisors (see below), whose sum is σ = 2927232. Its totient is φ = 278400.

The previous prime is 975071. The next prime is 975083. The reversal of 975072 is 270579.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 975072.

It is not an unprimeable number, because it can be changed into a prime (975071) 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, 54 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

2⁹⁷⁵⁰⁷² 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 975072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616).

975072 is an abundant number, since it is smaller than the sum of its proper divisors (1952160).

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

975072 is a wasteful number, since it uses less digits than its factorization.

975072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 975072 is about 987.4573408507. The cubic root of 975072 is about 99.1620649262.

The spelling of 975072 in words is "nine hundred seventy-five thousand, seventy-two".