972736 has 14 divisors (see below), whose sum is σ = 1930400. Its totient is φ = 486336.

The previous prime is 972721. The next prime is 972787. The reversal of 972736 is 637279.

972736 is nontrivially palindromic in base 15.

It is a d-powerful number, because it can be written as 9 + 7⁵ + 7⁷ + 2¹⁷ + 3² + 6⁴ .

It is a congruent number.

It is an unprimeable number.

972736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7536 + ... + 7663.

2⁹⁷²⁷³⁶ is an apocalyptic number.

It is an amenable number.

972736 is a deficient number, since it is larger than the sum of its proper divisors (957664).

972736 is a wasteful number, since it uses less digits than its factorization.

972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211 (or 15201 counting only the distinct ones).

The product of its digits is 15876, while the sum is 34.

The square root of 972736 is about 986.2737956572. The cubic root of 972736 is about 99.0828134064.

It can be divided in two parts, 97273 and 6, that added together give a palindrome (97279).

The spelling of 972736 in words is "nine hundred seventy-two thousand, seven hundred thirty-six".