9972573 has 16 divisors (see below), whose sum is σ = 14708736. Its totient is φ = 5970240.

The previous prime is 9972569. The next prime is 9972577. The reversal of 9972573 is 3752799.

9972573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9972569) and next prime (9972577).

It is not a de Polignac number, because 9972573 - 2² = 9972569 is a prime.

It is a super-3 number, since 3×9972573³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 2^9972573 is an apocalyptic number.

It is an amenable number.

9972573 is a deficient number, since it is larger than the sum of its proper divisors (4736163).

9972573 is a wasteful number, since it uses less digits than its factorization.

9972573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964.

The product of its digits is 119070, while the sum is 42.

The square root of 9972573 is about 3157.9380931234. The cubic root of 9972573 is about 215.2463230550.

It can be divided in two parts, 997 and 2573, that added together give a triangular number (3570 = T₈₄).

The spelling of 9972573 in words is "nine million, nine hundred seventy-two thousand, five hundred seventy-three".