72898271676 has 96 divisors (see below), whose sum is σ = 200196360000. Its totient is φ = 22860509184.

The previous prime is 72898271657. The next prime is 72898271723. The reversal of 72898271676 is 67617289827.

It is a super-3 number, since 3×72898271676³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5334100 + ... + 5347748.

It is an arithmetic number, because the mean of its divisors is an integer number (2085378750).

Almost surely, 2^72898271676 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 72898271676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100098180000).

72898271676 is an abundant number, since it is smaller than the sum of its proper divisors (127298088324).

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

72898271676 is a wasteful number, since it uses less digits than its factorization.

72898271676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16588 (or 16580 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 72898271676 in words is "seventy-two billion, eight hundred ninety-eight million, two hundred seventy-one thousand, six hundred seventy-six".