11802672 has 100 divisors (see below), whose sum is σ = 39070416. Its totient is φ = 3369600.

The previous prime is 11802671. The next prime is 11802673. The reversal of 11802672 is 27620811.

It is an interprime number because it is at equal distance from previous prime (11802671) and next prime (11802673).

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (11802671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8422 + ... + 9722.

Almost surely, 2^11802672 is an apocalyptic number.

11802672 is a gapful number since it is divisible by the number (12) 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 11802672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535208).

11802672 is an abundant number, since it is smaller than the sum of its proper divisors (27267744).

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

11802672 is a wasteful number, since it uses less digits than its factorization.

11802672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11802672 is about 3435.5017100854. The cubic root of 11802672 is about 227.6809943153.

The spelling of 11802672 in words is "eleven million, eight hundred two thousand, six hundred seventy-two".