972723852 has 72 divisors (see below), whose sum is σ = 2536279200. Its totient is φ = 314138880.

The previous prime is 972723841. The next prime is 972723881. The reversal of 972723852 is 258327279.

It is a junction number, because it is equal to n+sod(n) for n = 972723798 and 972723807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217713 + ... + 222135.

It is an arithmetic number, because the mean of its divisors is an integer number (35226100).

Almost surely, 2^972723852 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 972723852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268139600).

972723852 is an abundant number, since it is smaller than the sum of its proper divisors (1563555348).

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

972723852 is a wasteful number, since it uses less digits than its factorization.

972723852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4618 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 972723852 is about 31188.5211576311. The cubic root of 972723852 is about 990.8240093990.

It can be divided in two parts, 97272 and 3852, that added together give a square (101124 = 318²).

The spelling of 972723852 in words is "nine hundred seventy-two million, seven hundred twenty-three thousand, eight hundred fifty-two".