30772032 has 56 divisors (see below), whose sum is σ = 81844896. Its totient is φ = 10203648.

The previous prime is 30772013. The next prime is 30772033. The reversal of 30772032 is 23027703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30771993 and 30772011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30772033) 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 7 ways as a sum of consecutive naturals, for example, 55983 + ... + 56529.

It is an arithmetic number, because the mean of its divisors is an integer number (1461516).

Almost surely, 2^30772032 is an apocalyptic number.

30772032 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 30772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40922448).

30772032 is an abundant number, since it is smaller than the sum of its proper divisors (51072864).

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

30772032 is a wasteful number, since it uses less digits than its factorization.

30772032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 30772032 is about 5547.2544560350. The cubic root of 30772032 is about 313.3661330786.

Adding to 30772032 its reverse (23027703), we get a palindrome (53799735).

The spelling of 30772032 in words is "thirty million, seven hundred seventy-two thousand, thirty-two".