99738672 has 160 divisors (see below), whose sum is σ = 301694976. Its totient is φ = 28089600.

The previous prime is 99738637. The next prime is 99738673. The reversal of 99738672 is 27683799.

It is not an unprimeable number, because it can be changed into a prime (99738673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522097 + ... + 522287.

Almost surely, 2^99738672 is an apocalyptic number.

99738672 is a gapful number since it is divisible by the number (92) 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 99738672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847488).

99738672 is an abundant number, since it is smaller than the sum of its proper divisors (201956304).

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

99738672 is a wasteful number, since it uses less digits than its factorization.

99738672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 99738672 is about 9986.9250522871. The cubic root of 99738672 is about 463.7542049347.

The spelling of 99738672 in words is "ninety-nine million, seven hundred thirty-eight thousand, six hundred seventy-two".