972562752 has 252 divisors, whose sum is σ = 3305117088. Its totient is φ = 267840000.

The previous prime is 972562729. The next prime is 972562753. The reversal of 972562752 is 257265279.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (529200) is a multiple of the sum of its prime divisors (294).

It is a junction number, because it is equal to n+sod(n) for n = 972562698 and 972562707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972562753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3874627 + ... + 3874877.

It is an arithmetic number, because the mean of its divisors is an integer number (13115544).

Almost surely, 2^972562752 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 972562752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652558544).

972562752 is an abundant number, since it is smaller than the sum of its proper divisors (2332554336).

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

972562752 is a wasteful number, since it uses less digits than its factorization.

972562752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 294 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 972562752 is about 31185.9383697204. The cubic root of 972562752 is about 990.7693071453.

The spelling of 972562752 in words is "nine hundred seventy-two million, five hundred sixty-two thousand, seven hundred fifty-two".