11837007072 has 72 divisors (see below), whose sum is σ = 36721634040. Its totient is φ = 3586970880.

The previous prime is 11837007037. The next prime is 11837007137. The reversal of 11837007072 is 27070073811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11837007072² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1865047 + ... + 1871382.

It is an arithmetic number, because the mean of its divisors is an integer number (510022695).

Almost surely, 2^11837007072 is an apocalyptic number.

11837007072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11837007072 is an abundant number, since it is smaller than the sum of its proper divisors (24884626968).

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

11837007072 is a wasteful number, since it uses less digits than its factorization.

11837007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736456 (or 3736445 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 11837007072 in words is "eleven billion, eight hundred thirty-seven million, seven thousand, seventy-two".