973629072 has 140 divisors (see below), whose sum is σ = 3046352764. Its totient is φ = 299531520.

The previous prime is 973629053. The next prime is 973629079. The reversal of 973629072 is 270926379.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 770395536 = 14256^2 + 27756^2 .

It is not an unprimeable number, because it can be changed into a prime (973629079) by changing a digit.

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 in 27 ways as a sum of consecutive naturals, for example, 148422 + ... + 154842.

Almost surely, 2^973629072 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 973629072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523176382).

973629072 is an abundant number, since it is smaller than the sum of its proper divisors (2072723692).

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

973629072 is a wasteful number, since it uses less digits than its factorization.

973629072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 973629072 is about 31203.0298528845. The cubic root of 973629072 is about 991.1312687950.

The spelling of 973629072 in words is "nine hundred seventy-three million, six hundred twenty-nine thousand, seventy-two".