24723072 has 96 divisors (see below), whose sum is σ = 77650560. Its totient is φ = 7488000.

The previous prime is 24723071. The next prime is 24723073. The reversal of 24723072 is 27032742.

It is an interprime number because it is at equal distance from previous prime (24723071) and next prime (24723073).

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

It is a super-2 number, since 2×24723072² = 1222460578234368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24723071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11697 + ... + 13647.

It is an arithmetic number, because the mean of its divisors is an integer number (808860).

Almost surely, 2^24723072 is an apocalyptic number.

24723072 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 24723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38825280).

24723072 is an abundant number, since it is smaller than the sum of its proper divisors (52927488).

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

24723072 is a wasteful number, since it uses less digits than its factorization.

24723072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 24723072 is about 4972.2300831719. The cubic root of 24723072 is about 291.3181060987.

The spelling of 24723072 in words is "twenty-four million, seven hundred twenty-three thousand, seventy-two".