972007128 has 80 divisors (see below), whose sum is σ = 2728075680. Its totient is φ = 323341632.

The previous prime is 972007109. The next prime is 972007151. The reversal of 972007128 is 821700279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 972007092 and 972007101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 396001 + ... + 398447.

It is an arithmetic number, because the mean of its divisors is an integer number (34100946).

Almost surely, 2^972007128 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 972007128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364037840).

972007128 is an abundant number, since it is smaller than the sum of its proper divisors (1756068552).

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

972007128 is a wasteful number, since it uses less digits than its factorization.

972007128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 972007128 is about 31177.0288513835. The cubic root of 972007128 is about 990.5805960758.

The spelling of 972007128 in words is "nine hundred seventy-two million, seven thousand, one hundred twenty-eight".