72424497600 has 2016 divisors, whose sum is σ = 346687810560. Its totient is φ = 14452162560.

The previous prime is 72424497581. The next prime is 72424497611. The reversal of 72424497600 is 679442427.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×72424497600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 813758356 + ... + 813758444.

It is an arithmetic number, because the mean of its divisors is an integer number (171968160).

Almost surely, 2^72424497600 is an apocalyptic number.

72424497600 is a gapful number since it is divisible by the number (70) 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 72424497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173343905280).

72424497600 is an abundant number, since it is smaller than the sum of its proper divisors (274263312960).

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

72424497600 is a wasteful number, since it uses less digits than its factorization.

72424497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 72424497600 in words is "seventy-two billion, four hundred twenty-four million, four hundred ninety-seven thousand, six hundred".