25033120 has 144 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 8225280.

The previous prime is 25033079. The next prime is 25033121. The reversal of 25033120 is 2133052.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 25033094 and 25033103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25033121) 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, 242989 + ... + 243091.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^25033120 is an apocalyptic number.

25033120 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 25033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

25033120 is an abundant number, since it is smaller than the sum of its proper divisors (46671968).

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

25033120 is a wasteful number, since it uses less digits than its factorization.

25033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 25033120 is about 5003.3109037916. The cubic root of 25033120 is about 292.5308414651.

Adding to 25033120 its reverse (2133052), we get a palindrome (27166172).

The spelling of 25033120 in words is "twenty-five million, thirty-three thousand, one hundred twenty".