56772000 has 288 divisors, whose sum is σ = 214643520. Its totient is φ = 14169600.

The previous prime is 56771989. The next prime is 56772011. The reversal of 56772000 is 27765.

It is an interprime number because it is at equal distance from previous prime (56771989) and next prime (56772011).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683959 + ... + 684041.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^56772000 is an apocalyptic number.

56772000 is a gapful number since it is divisible by the number (50) 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 56772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

56772000 is an abundant number, since it is smaller than the sum of its proper divisors (157871520).

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

56772000 is a wasteful number, since it uses less digits than its factorization.

56772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

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

The square root of 56772000 is about 7534.7196364563. The cubic root of 56772000 is about 384.3362939411.

Adding to 56772000 its reverse (27765), we get a palindrome (56799765).

The spelling of 56772000 in words is "fifty-six million, seven hundred seventy-two thousand".