11972576 has 96 divisors (see below), whose sum is σ = 30336768. Its totient is φ = 4515840.

The previous prime is 11972557. The next prime is 11972579. The reversal of 11972576 is 67527911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11972579) 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, 105896 + ... + 106008.

It is an arithmetic number, because the mean of its divisors is an integer number (316008).

Almost surely, 2^11972576 is an apocalyptic number.

11972576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11972576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384).

11972576 is an abundant number, since it is smaller than the sum of its proper divisors (18364192).

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

11972576 is a wasteful number, since it uses less digits than its factorization.

11972576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 26460, while the sum is 38.

The square root of 11972576 is about 3460.1410375879. The cubic root of 11972576 is about 228.7683119106.

It can be divided in two parts, 1197 and 2576, that added together give a palindrome (3773).

The spelling of 11972576 in words is "eleven million, nine hundred seventy-two thousand, five hundred seventy-six".