72731030400 has 288 divisors, whose sum is σ = 296596232400. Its totient is φ = 16624189440.

The previous prime is 72731030377. The next prime is 72731030413. The reversal of 72731030400 is 403013727.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21216 + ... + 381984.

Almost surely, 2^72731030400 is an apocalyptic number.

72731030400 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 72731030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148298116200).

72731030400 is an abundant number, since it is smaller than the sum of its proper divisors (223865202000).

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

72731030400 is a wasteful number, since it uses less digits than its factorization.

72731030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360806 (or 360786 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 72731030400 in words is "seventy-two billion, seven hundred thirty-one million, thirty thousand, four hundred".