30936672 has 72 divisors (see below), whose sum is σ = 94755024. Its totient is φ = 9517824.

The previous prime is 30936671. The next prime is 30936677. The reversal of 30936672 is 27663903.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30936671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388 + ... + 7875.

It is an arithmetic number, because the mean of its divisors is an integer number (1316042).

Almost surely, 2^30936672 is an apocalyptic number.

30936672 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 30936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47377512).

30936672 is an abundant number, since it is smaller than the sum of its proper divisors (63818352).

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

30936672 is a wasteful number, since it uses less digits than its factorization.

30936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 30936672 is about 5562.0744331589. The cubic root of 30936672 is about 313.9240082783.

The spelling of 30936672 in words is "thirty million, nine hundred thirty-six thousand, six hundred seventy-two".