72987885000 has 400 divisors, whose sum is σ = 270512892540. Its totient is φ = 18316800000.

The previous prime is 72987884999. The next prime is 72987885011. The reversal of 72987885000 is 58878927.

It can be written as a sum of positive squares in 10 ways, for example, as 272448036 + 72715436964 = 16506^2 + 269658^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6879700 + ... + 6890300.

Almost surely, 2^72987885000 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 72987885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135256446270).

72987885000 is an abundant number, since it is smaller than the sum of its proper divisors (197525007540).

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

72987885000 is a wasteful number, since it uses less digits than its factorization.

72987885000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 72987885000 in words is "seventy-two billion, nine hundred eighty-seven million, eight hundred eighty-five thousand".