30772512 has 72 divisors (see below), whose sum is σ = 89041680. Its totient is φ = 10078080.

The previous prime is 30772507. The next prime is 30772513. The reversal of 30772512 is 21527703.

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

It is not an unprimeable number, because it can be changed into a prime (30772513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16087 + ... + 17897.

It is an arithmetic number, because the mean of its divisors is an integer number (1236690).

Almost surely, 2^30772512 is an apocalyptic number.

30772512 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 30772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44520840).

30772512 is an abundant number, since it is smaller than the sum of its proper divisors (58269168).

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

30772512 is a wasteful number, since it uses less digits than its factorization.

30772512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 30772512 is about 5547.2977205122. The cubic root of 30772512 is about 313.3677624257.

The spelling of 30772512 in words is "thirty million, seven hundred seventy-two thousand, five hundred twelve".