30123072 has 168 divisors, whose sum is σ = 102282752. Its totient is φ = 8294400.

The previous prime is 30123061. The next prime is 30123089. The reversal of 30123072 is 27032103.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124872 + ... + 125112.

Almost surely, 2^30123072 is an apocalyptic number.

30123072 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 30123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51141376).

30123072 is an abundant number, since it is smaller than the sum of its proper divisors (72159680).

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

30123072 is a wasteful number, since it uses less digits than its factorization.

30123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 30123072 is about 5488.4489612276. The cubic root of 30123072 is about 311.1475745622.

Adding to 30123072 its reverse (27032103), we get a palindrome (57155175).

It can be divided in two parts, 3012 and 3072, that added together give a square (6084 = 78²).

The spelling of 30123072 in words is "thirty million, one hundred twenty-three thousand, seventy-two".