967572 has 72 divisors (see below), whose sum is σ = 2750720. Its totient is φ = 293760.

The previous prime is 967567. The next prime is 967583. The reversal of 967572 is 275769.

967572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31197 + ... + 31227.

2⁹⁶⁷⁵⁷² 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 967572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375360).

967572 is an abundant number, since it is smaller than the sum of its proper divisors (1783148).

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

967572 is a wasteful number, since it uses less digits than its factorization.

967572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 967572 is about 983.6523776213. The cubic root of 967572 is about 98.9071673395.

The spelling of 967572 in words is "nine hundred sixty-seven thousand, five hundred seventy-two".