24972000 has 96 divisors (see below), whose sum is σ = 81847584. Its totient is φ = 6656000.

The previous prime is 24971959. The next prime is 24972001. The reversal of 24972000 is 27942.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24972001) 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, 10960 + ... + 13040.

It is an arithmetic number, because the mean of its divisors is an integer number (852579).

Almost surely, 2^24972000 is an apocalyptic number.

24972000 is a gapful number since it is divisible by the number (20) 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 24972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40923792).

24972000 is an abundant number, since it is smaller than the sum of its proper divisors (56875584).

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

24972000 is a wasteful number, since it uses less digits than its factorization.

24972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2091 counting only the distinct ones).

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

The square root of 24972000 is about 4997.1992155607. The cubic root of 24972000 is about 292.2925697127.

Adding to 24972000 its reverse (27942), we get a palindrome (24999942).

The spelling of 24972000 in words is "twenty-four million, nine hundred seventy-two thousand".