55765152 has 192 divisors, whose sum is σ = 177408000. Its totient is φ = 16982784.

The previous prime is 55765147. The next prime is 55765159. The reversal of 55765152 is 25156755.

It is a happy number.

55765152 is a `hidden beast` number, since 557 + 6 + 51 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55765159) 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 31 ways as a sum of consecutive naturals, for example, 705849 + ... + 705927.

It is an arithmetic number, because the mean of its divisors is an integer number (924000).

Almost surely, 2^55765152 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 55765152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

55765152 is an abundant number, since it is smaller than the sum of its proper divisors (121642848).

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

55765152 is a wasteful number, since it uses less digits than its factorization.

55765152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 55765152 is about 7467.6068455697. The cubic root of 55765152 is about 382.0506680596.

The spelling of 55765152 in words is "fifty-five million, seven hundred sixty-five thousand, one hundred fifty-two".