30792672 has 72 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 9930240.

The previous prime is 30792667. The next prime is 30792677. The reversal of 30792672 is 27629703.

It is an interprime number because it is at equal distance from previous prime (30792667) and next prime (30792677).

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 (30792677) 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, 7204 + ... + 10652.

It is an arithmetic number, because the mean of its divisors is an integer number (1255800).

Almost surely, 2^30792672 is an apocalyptic number.

30792672 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 30792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208800).

30792672 is an abundant number, since it is smaller than the sum of its proper divisors (59624928).

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

30792672 is a wasteful number, since it uses less digits than its factorization.

30792672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 30792672 is about 5549.1145239579. The cubic root of 30792672 is about 313.4361797089.

The spelling of 30792672 in words is "thirty million, seven hundred ninety-two thousand, six hundred seventy-two".