972972 has 144 divisors (see below), whose sum is σ = 3424512. Its totient is φ = 233280.

The previous prime is 972967. The next prime is 972977. The reversal of 972972 is 279279.

It is an interprime number because it is at equal distance from previous prime (972967) and next prime (972977).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15876) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972977) 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 47 ways as a sum of consecutive naturals, for example, 74838 + ... + 74850.

2⁹⁷²⁹⁷² 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 972972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712256).

972972 is an abundant number, since it is smaller than the sum of its proper divisors (2451540).

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

972972 is a wasteful number, since it uses less digits than its factorization.

972972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 972972 is about 986.3934306351. The cubic root of 972972 is about 99.0908257390.

It can be divided in two parts, 9729 and 72, that added together give a square (9801 = 99²).

The spelling of 972972 in words is "nine hundred seventy-two thousand, nine hundred seventy-two".