30132000 has 288 divisors, whose sum is σ = 114476544. Its totient is φ = 7776000.

The previous prime is 30131999. The next prime is 30132013. The reversal of 30132000 is 23103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 971985 + ... + 972015.

It is an arithmetic number, because the mean of its divisors is an integer number (397488).

Almost surely, 2^30132000 is an apocalyptic number.

30132000 is a gapful number since it is divisible by the number (30) 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 30132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57238272).

30132000 is an abundant number, since it is smaller than the sum of its proper divisors (84344544).

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

30132000 is an equidigital number, since it uses as much as digits as its factorization.

30132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30132000 is about 5489.2622455117. The cubic root of 30132000 is about 311.1783112584.

Adding to 30132000 its reverse (23103), we get a palindrome (30155103).

The spelling of 30132000 in words is "thirty million, one hundred thirty-two thousand".