72428237112 has 576 divisors, whose sum is σ = 248899392000. Its totient is φ = 17435658240.

The previous prime is 72428237071. The next prime is 72428237179. The reversal of 72428237112 is 21173282427.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 191103339 + ... + 191103717.

It is an arithmetic number, because the mean of its divisors is an integer number (432117000).

Almost surely, 2^72428237112 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 72428237112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449696000).

72428237112 is an abundant number, since it is smaller than the sum of its proper divisors (176471154888).

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

72428237112 is a wasteful number, since it uses less digits than its factorization.

72428237112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 498 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The spelling of 72428237112 in words is "seventy-two billion, four hundred twenty-eight million, two hundred thirty-seven thousand, one hundred twelve".