7972048 has 80 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 3115008.

The previous prime is 7972043. The next prime is 7972049. The reversal of 7972048 is 8402797.

It is a happy number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 7971998 and 7972016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972043) 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 15 ways as a sum of consecutive naturals, for example, 100873 + ... + 100951.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^7972048 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 7972048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

7972048 is an abundant number, since it is smaller than the sum of its proper divisors (11312432).

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

7972048 is a wasteful number, since it uses less digits than its factorization.

7972048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 7972048 is about 2823.4815388098. The cubic root of 7972048 is about 199.7667948491.

It can be divided in two parts, 79 and 72048, that added together give a palindrome (72127).

The spelling of 7972048 in words is "seven million, nine hundred seventy-two thousand, forty-eight".