30756672 has 140 divisors (see below), whose sum is σ = 96812100. Its totient is φ = 9621504.

The previous prime is 30756667. The next prime is 30756697. The reversal of 30756672 is 27665703.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 7485696 = 4824^2 + 2736^2 .

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

It is a congruent number.

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, 87954 + ... + 88302.

It is an arithmetic number, because the mean of its divisors is an integer number (691515).

Almost surely, 2^30756672 is an apocalyptic number.

30756672 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 30756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48406050).

30756672 is an abundant number, since it is smaller than the sum of its proper divisors (66055428).

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

30756672 is a wasteful number, since it uses less digits than its factorization.

30756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 30756672 is about 5545.8698145557. The cubic root of 30756672 is about 313.3139850233.

The spelling of 30756672 in words is "thirty million, seven hundred fifty-six thousand, six hundred seventy-two".