967072 has 24 divisors (see below), whose sum is σ = 1947456. Its totient is φ = 472512.

The previous prime is 967061. The next prime is 967111. The reversal of 967072 is 270769.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1183 + ... + 1825.

It is an arithmetic number, because the mean of its divisors is an integer number (81144).

2⁹⁶⁷⁰⁷² 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 967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973728).

967072 is an abundant number, since it is smaller than the sum of its proper divisors (980384).

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

967072 is a wasteful number, since it uses less digits than its factorization.

967072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 967072 is about 983.3981899516. The cubic root of 967072 is about 98.8901274001.

It can be divided in two parts, 9 and 67072, that added together give a square (67081 = 259²).

The spelling of 967072 in words is "nine hundred sixty-seven thousand, seventy-two".