11673972 has 54 divisors (see below), whose sum is σ = 30898322. Its totient is φ = 3716064.

The previous prime is 11673947. The next prime is 11673989. The reversal of 11673972 is 27937611.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 5503716 = 2484^2 + 2346^2 .

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18738 + ... + 19350.

Almost surely, 2^11673972 is an apocalyptic number.

11673972 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 11673972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449161).

11673972 is an abundant number, since it is smaller than the sum of its proper divisors (19224350).

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

11673972 is a wasteful number, since it uses less digits than its factorization.

11673972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 641 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 11673972 is about 3416.7194792666. The cubic root of 11673972 is about 226.8503998553.

It can be divided in two parts, 116 and 73972, that added together give a cube (74088 = 42³).

The spelling of 11673972 in words is "eleven million, six hundred seventy-three thousand, nine hundred seventy-two".