30367872 has 160 divisors (see below), whose sum is σ = 94416300. Its totient is φ = 9676800.

The previous prime is 30367853. The next prime is 30367903. The reversal of 30367872 is 27876303.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 2742336 = 5256^2 + 1656^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300622 + ... + 300722.

Almost surely, 2^30367872 is an apocalyptic number.

30367872 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 30367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47208150).

30367872 is an abundant number, since it is smaller than the sum of its proper divisors (64048428).

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

30367872 is a wasteful number, since it uses less digits than its factorization.

30367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 30367872 is about 5510.7052180279. The cubic root of 30367872 is about 311.9881652316.

The spelling of 30367872 in words is "thirty million, three hundred sixty-seven thousand, eight hundred seventy-two".