24567972 has 96 divisors (see below), whose sum is σ = 68490240. Its totient is φ = 6756480.

The previous prime is 24567971. The next prime is 24567989. The reversal of 24567972 is 27976542.

It is not an unprimeable number, because it can be changed into a prime (24567971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176679 + ... + 176817.

It is an arithmetic number, because the mean of its divisors is an integer number (713440).

Almost surely, 2^24567972 is an apocalyptic number.

24567972 is a gapful number since it is divisible by the number (22) 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 24567972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34245120).

24567972 is an abundant number, since it is smaller than the sum of its proper divisors (43922268).

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

24567972 is a wasteful number, since it uses less digits than its factorization.

24567972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 24567972 is about 4956.6089214301. The cubic root of 24567972 is about 290.7076337576.

The spelling of 24567972 in words is "twenty-four million, five hundred sixty-seven thousand, nine hundred seventy-two".