99729000 has 192 divisors, whose sum is σ = 385482240. Its totient is φ = 22780800.

The previous prime is 99728983. The next prime is 99729011. The reversal of 99729000 is 92799.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62209 + ... + 63791.

It is an arithmetic number, because the mean of its divisors is an integer number (2007720).

Almost surely, 2^99729000 is an apocalyptic number.

99729000 is a gapful number since it is divisible by the number (90) 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 99729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192741120).

99729000 is an abundant number, since it is smaller than the sum of its proper divisors (285753240).

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

99729000 is a wasteful number, since it uses less digits than its factorization.

99729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 99729000 is about 9986.4408074148. The cubic root of 99729000 is about 463.7392138399.

The spelling of 99729000 in words is "ninety-nine million, seven hundred twenty-nine thousand".