72985155828 has 192 divisors, whose sum is σ = 190029557760. Its totient is φ = 21664101888.

The previous prime is 72985155821. The next prime is 72985155883. The reversal of 72985155828 is 82855158927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72985155821) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 129635875 + ... + 129636437.

It is an arithmetic number, because the mean of its divisors is an integer number (989737280).

Almost surely, 2^72985155828 is an apocalyptic number.

72985155828 is a gapful number since it is divisible by the number (78) 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 72985155828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95014778880).

72985155828 is an abundant number, since it is smaller than the sum of its proper divisors (117044401932).

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

72985155828 is a wasteful number, since it uses less digits than its factorization.

72985155828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 60.

The spelling of 72985155828 in words is "seventy-two billion, nine hundred eighty-five million, one hundred fifty-five thousand, eight hundred twenty-eight".