72998164224 has 126 divisors (see below), whose sum is σ = 218467388496. Its totient is φ = 24332659200.

The previous prime is 72998164219. The next prime is 72998164231. The reversal of 72998164224 is 42246189927.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 8952 + ... + 382199.

Almost surely, 2^72998164224 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 72998164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109233694248).

72998164224 is an abundant number, since it is smaller than the sum of its proper divisors (145469224272).

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

72998164224 is an frugal number, since it uses more digits than its factorization.

72998164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391185 (or 391156 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 72998164224 in words is "seventy-two billion, nine hundred ninety-eight million, one hundred sixty-four thousand, two hundred twenty-four".