72430142400 has 504 divisors, whose sum is σ = 320961373824. Its totient is φ = 15050188800.

The previous prime is 72430142357. The next prime is 72430142413. The reversal of 72430142400 is 424103427.

72430142400 is a `hidden beast` number, since 7 + 243 + 0 + 14 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×72430142400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1076139 + ... + 1141461.

Almost surely, 2^72430142400 is an apocalyptic number.

72430142400 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 72430142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160480686912).

72430142400 is an abundant number, since it is smaller than the sum of its proper divisors (248531231424).

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

72430142400 is a wasteful number, since it uses less digits than its factorization.

72430142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65369 (or 65351 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 72430142400 its reverse (424103427), we get a palindrome (72854245827).

The spelling of 72430142400 in words is "seventy-two billion, four hundred thirty million, one hundred forty-two thousand, four hundred".