56767872 has 128 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 16181760.

The previous prime is 56767861. The next prime is 56767873. The reversal of 56767872 is 27876765.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56767873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131497 + ... + 131927.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^56767872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

56767872 is an abundant number, since it is smaller than the sum of its proper divisors (119488128).

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

56767872 is an equidigital number, since it uses as much as digits as its factorization.

56767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 56767872 is about 7534.4456995853. The cubic root of 56767872 is about 384.3269784412.

The spelling of 56767872 in words is "fifty-six million, seven hundred sixty-seven thousand, eight hundred seventy-two".