72102017988 has 1152 divisors, whose sum is σ = 275526451200. Its totient is φ = 15284505600.

The previous prime is 72102017963. The next prime is 72102018029. The reversal of 72102017988 is 88971020127.

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 383 ways as a sum of consecutive naturals, for example, 912683733 + ... + 912683811.

Almost surely, 2^72102017988 is an apocalyptic number.

72102017988 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 72102017988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137763225600).

72102017988 is an abundant number, since it is smaller than the sum of its proper divisors (203424433212).

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

72102017988 is a wasteful number, since it uses less digits than its factorization.

72102017988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 72102017988 in words is "seventy-two billion, one hundred two million, seventeen thousand, nine hundred eighty-eight".