23790672 has 120 divisors (see below), whose sum is σ = 71766240. Its totient is φ = 7620480.

The previous prime is 23790661. The next prime is 23790673. The reversal of 23790672 is 27609732.

It is a super-3 number, since 3×23790672³ (a number of 23 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (23790673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112647 + ... + 112857.

It is an arithmetic number, because the mean of its divisors is an integer number (598052).

Almost surely, 2^23790672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23790672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35883120).

23790672 is an abundant number, since it is smaller than the sum of its proper divisors (47975568).

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

23790672 is a wasteful number, since it uses less digits than its factorization.

23790672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 23790672 is about 4877.5682465753. The cubic root of 23790672 is about 287.6088439800.

It can be divided in two parts, 237 and 90672, that added together give a palindrome (90909).

The spelling of 23790672 in words is "twenty-three million, seven hundred ninety thousand, six hundred seventy-two".