24924270072 has 192 divisors, whose sum is σ = 73321804800. Its totient is φ = 7030333440.

The previous prime is 24924270029. The next prime is 24924270073. The reversal of 24924270072 is 27007242942.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 24924270072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24924270073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2383768 + ... + 2394200.

It is an arithmetic number, because the mean of its divisors is an integer number (381884400).

Almost surely, 2^24924270072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24924270072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36660902400).

24924270072 is an abundant number, since it is smaller than the sum of its proper divisors (48397534728).

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

24924270072 is a wasteful number, since it uses less digits than its factorization.

24924270072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10518 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 24924270072 in words is "twenty-four billion, nine hundred twenty-four million, two hundred seventy thousand, seventy-two".