972846072 has 128 divisors (see below), whose sum is σ = 2959315200. Its totient is φ = 293673600.

The previous prime is 972846067. The next prime is 972846089. The reversal of 972846072 is 270648279.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785838 + ... + 787074.

It is an arithmetic number, because the mean of its divisors is an integer number (23119650).

Almost surely, 2^972846072 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 972846072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479657600).

972846072 is an abundant number, since it is smaller than the sum of its proper divisors (1986469128).

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

972846072 is a wasteful number, since it uses less digits than its factorization.

972846072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 972846072 is about 31190.4804708103. The cubic root of 972846072 is about 990.8655057389.

The spelling of 972846072 in words is "nine hundred seventy-two million, eight hundred forty-six thousand, seventy-two".