72428418000 has 400 divisors, whose sum is σ = 275397819840. Its totient is φ = 18296928000.

The previous prime is 72428417993. The next prime is 72428418001. The reversal of 72428418000 is 81482427.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72428418001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3066235 + ... + 3089765.

Almost surely, 2^72428418000 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 72428418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137698909920).

72428418000 is an abundant number, since it is smaller than the sum of its proper divisors (202969401840).

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

72428418000 is a wasteful number, since it uses less digits than its factorization.

72428418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23585 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 72428418000 in words is "seventy-two billion, four hundred twenty-eight million, four hundred eighteen thousand".