30273152 has 128 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 11354112.

The previous prime is 30273151. The next prime is 30273157. The reversal of 30273152 is 25137203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (30273151) 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 15 ways as a sum of consecutive naturals, for example, 267848 + ... + 267960.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 2^30273152 is an apocalyptic number.

30273152 is a gapful number since it is divisible by the number (32) 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 30273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

30273152 is an abundant number, since it is smaller than the sum of its proper divisors (47867008).

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

30273152 is a wasteful number, since it uses less digits than its factorization.

30273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 30273152 is about 5502.1043247107. The cubic root of 30273152 is about 311.6634547729.

The spelling of 30273152 in words is "thirty million, two hundred seventy-three thousand, one hundred fifty-two".