972520 has 32 divisors (see below), whose sum is σ = 2245320. Its totient is φ = 378880.

The previous prime is 972493. The next prime is 972533. The reversal of 972520 is 25279.

It can be written as a sum of positive squares in 4 ways, for example, as 580644 + 391876 = 762^2 + 626^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344 + ... + 1936.

2⁹⁷²⁵²⁰ 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 972520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122660).

972520 is an abundant number, since it is smaller than the sum of its proper divisors (1272800).

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

972520 is a wasteful number, since it uses less digits than its factorization.

972520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 972520 is about 986.1642865162. The cubic root of 972520 is about 99.0754789491.

Adding to 972520 its reverse (25279), we get a palindrome (997799).

The spelling of 972520 in words is "nine hundred seventy-two thousand, five hundred twenty".