11727072000 has 864 divisors, whose sum is σ = 50527189440. Its totient is φ = 2670796800.

The previous prime is 11727071989. The next prime is 11727072013. The reversal of 11727072000 is 27072711.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42335862 + ... + 42336138.

Almost surely, 2^11727072000 is an apocalyptic number.

11727072000 is a gapful number since it is divisible by the number (10) 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 11727072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25263594720).

11727072000 is an abundant number, since it is smaller than the sum of its proper divisors (38800117440).

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

11727072000 is an equidigital number, since it uses as much as digits as its factorization.

11727072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 11727072000 in words is "eleven billion, seven hundred twenty-seven million, seventy-two thousand".