24164272 has 40 divisors (see below), whose sum is σ = 51371712. Its totient is φ = 10920000.

The previous prime is 24164269. The next prime is 24164281. The reversal of 24164272 is 27246142.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 24164272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43903 + ... + 44449.

Almost surely, 2^24164272 is an apocalyptic number.

24164272 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 24164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685856).

24164272 is an abundant number, since it is smaller than the sum of its proper divisors (27207440).

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

24164272 is a wasteful number, since it uses less digits than its factorization.

24164272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 24164272 is about 4915.7168348065. The cubic root of 24164272 is about 289.1065327244.

The spelling of 24164272 in words is "twenty-four million, one hundred sixty-four thousand, two hundred seventy-two".