24772072 has 32 divisors (see below), whose sum is σ = 50246280. Its totient is φ = 11381760.

The previous prime is 24772063. The next prime is 24772079. The reversal of 24772072 is 27027742.

It can be written as a sum of positive squares in 4 ways, for example, as 1674436 + 23097636 = 1294^2 + 4806^2 .

It is a super-2 number, since 2×24772072² = 1227311102346368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (24772079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32172 + ... + 32932.

Almost surely, 2^24772072 is an apocalyptic number.

It is an amenable number.

24772072 is an abundant number, since it is smaller than the sum of its proper divisors (25474208).

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

24772072 is a wasteful number, since it uses less digits than its factorization.

24772072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 31.

The square root of 24772072 is about 4977.1550106461. The cubic root of 24772072 is about 291.5104388186.

The spelling of 24772072 in words is "twenty-four million, seven hundred seventy-two thousand, seventy-two".