11631072 has 24 divisors (see below), whose sum is σ = 30531816. Its totient is φ = 3876992.

The previous prime is 11631071. The next prime is 11631079. The reversal of 11631072 is 27013611.

11631072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60483 + ... + 60674.

It is an arithmetic number, because the mean of its divisors is an integer number (1272159).

Almost surely, 2^11631072 is an apocalyptic number.

11631072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11631072 is an abundant number, since it is smaller than the sum of its proper divisors (18900744).

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

11631072 is a wasteful number, since it uses less digits than its factorization.

11631072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121170 (or 121162 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 11631072 is about 3410.4357492848. The cubic root of 11631072 is about 226.5721789951.

Adding to 11631072 its reverse (27013611), we get a palindrome (38644683).

The spelling of 11631072 in words is "eleven million, six hundred thirty-one thousand, seventy-two".