72838332000 has 1536 divisors, whose sum is σ = 326069452800. Its totient is φ = 15434496000.

The previous prime is 72838331987. The next prime is 72838332013. The reversal of 72838332000 is 23383827.

72838332000 is a `hidden beast` number, since 72 + 8 + 383 + 3 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72838331987) and next prime (72838332013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1025891965 + ... + 1025892035.

It is an arithmetic number, because the mean of its divisors is an integer number (212284800).

Almost surely, 2^72838332000 is an apocalyptic number.

72838332000 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 72838332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163034726400).

72838332000 is an abundant number, since it is smaller than the sum of its proper divisors (253231120800).

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

72838332000 is a wasteful number, since it uses less digits than its factorization.

72838332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 72838332000 in words is "seventy-two billion, eight hundred thirty-eight million, three hundred thirty-two thousand".