55772700 has 144 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 13882880.

The previous prime is 55772687. The next prime is 55772711. The reversal of 55772700 is 727755.

It is a super-2 number, since 2×55772700² = 6221188130580000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 407032 + ... + 407168.

It is an arithmetic number, because the mean of its divisors is an integer number (1197840).

Almost surely, 2^55772700 is an apocalyptic number.

55772700 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 55772700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

55772700 is an abundant number, since it is smaller than the sum of its proper divisors (116716260).

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

55772700 is a wasteful number, since it uses less digits than its factorization.

55772700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 33.

The square root of 55772700 is about 7468.1122112620. The cubic root of 55772700 is about 382.0679045609.

The spelling of 55772700 in words is "fifty-five million, seven hundred seventy-two thousand, seven hundred".