6972576 has 96 divisors (see below), whose sum is σ = 20377728. Its totient is φ = 2073600.

The previous prime is 6972571. The next prime is 6972593. The reversal of 6972576 is 6752796.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6972576³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6972571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46101 + ... + 46251.

It is an arithmetic number, because the mean of its divisors is an integer number (212268).

Almost surely, 2^6972576 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 6972576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188864).

6972576 is an abundant number, since it is smaller than the sum of its proper divisors (13405152).

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

6972576 is a wasteful number, since it uses less digits than its factorization.

6972576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 6972576 is about 2640.5635762087. The cubic root of 6972576 is about 191.0429807424.

The spelling of 6972576 in words is "six million, nine hundred seventy-two thousand, five hundred seventy-six".