72331000434 has 288 divisors, whose sum is σ = 207048441600. Its totient is φ = 18713993760.

The previous prime is 72331000361. The next prime is 72331000517. The reversal of 72331000434 is 43400013327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72331000398 and 72331000407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109758397 + ... + 109759055.

It is an arithmetic number, because the mean of its divisors is an integer number (718918200).

Almost surely, 2^72331000434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72331000434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103524220800).

72331000434 is an abundant number, since it is smaller than the sum of its proper divisors (134717441166).

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

72331000434 is a wasteful number, since it uses less digits than its factorization.

72331000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 72331000434 in words is "seventy-two billion, three hundred thirty-one million, four hundred thirty-four", and thus it is an aban number.