30726144 has 72 divisors (see below), whose sum is σ = 88795980. Its totient is φ = 10235904.

The previous prime is 30726131. The next prime is 30726161. The reversal of 30726144 is 44162703.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17599 + ... + 19265.

Almost surely, 2^30726144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44397990).

30726144 is an abundant number, since it is smaller than the sum of its proper divisors (58069836).

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

30726144 is a wasteful number, since it uses less digits than its factorization.

30726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30726144 is about 5543.1168127688. The cubic root of 30726144 is about 313.2102891958.

Adding to 30726144 its reverse (44162703), we get a palindrome (74888847).

It can be divided in two parts, 3072 and 6144, that added together give a square (9216 = 96²).

The spelling of 30726144 in words is "thirty million, seven hundred twenty-six thousand, one hundred forty-four".