99252000 has 192 divisors, whose sum is σ = 361670400. Its totient is φ = 26438400.

The previous prime is 99251963. The next prime is 99252011. The reversal of 99252000 is 25299.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107541 + ... + 108459.

It is an arithmetic number, because the mean of its divisors is an integer number (1883700).

Almost surely, 2^99252000 is an apocalyptic number.

99252000 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 99252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).

99252000 is an abundant number, since it is smaller than the sum of its proper divisors (262418400).

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

99252000 is a wasteful number, since it uses less digits than its factorization.

99252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 99252000 is about 9962.5297992026. The cubic root of 99252000 is about 462.9986829526.

Adding to 99252000 its reverse (25299), we get a palindrome (99277299).

The spelling of 99252000 in words is "ninety-nine million, two hundred fifty-two thousand".