23121672 has 64 divisors (see below), whose sum is σ = 66460800. Its totient is φ = 6566400.

The previous prime is 23121667. The next prime is 23121673. The reversal of 23121672 is 27612132.

It is a super-2 number, since 2×23121672² = 1069223432151168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23121673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38172 + ... + 38772.

It is an arithmetic number, because the mean of its divisors is an integer number (1038450).

Almost surely, 2^23121672 is an apocalyptic number.

It is a pronic number, being equal to 4808×4809.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23121672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33230400).

23121672 is an abundant number, since it is smaller than the sum of its proper divisors (43339128).

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

23121672 is a wasteful number, since it uses less digits than its factorization.

23121672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 23121672 is about 4808.4999740044. The cubic root of 23121672 is about 284.8872930768.

The spelling of 23121672 in words is "twenty-three million, one hundred twenty-one thousand, six hundred seventy-two".