72013099200 has 672 divisors, whose sum is σ = 284848816128. Its totient is φ = 15579648000.

The previous prime is 72013099189. The next prime is 72013099253. The reversal of 72013099200 is 299031027.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48954465 + ... + 48955935.

Almost surely, 2^72013099200 is an apocalyptic number.

72013099200 is a gapful number since it is divisible by the number (70) 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 72013099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142424408064).

72013099200 is an abundant number, since it is smaller than the sum of its proper divisors (212835716928).

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

72013099200 is a wasteful number, since it uses less digits than its factorization.

72013099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 72013099200 in words is "seventy-two billion, thirteen million, ninety-nine thousand, two hundred".