55137672 has 96 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 18144000.

The previous prime is 55137637. The next prime is 55137673. The reversal of 55137672 is 27673155.

55137672 is a `hidden beast` number, since 5 + 513 + 76 + 72 = 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 (55137673) 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 23 ways as a sum of consecutive naturals, for example, 219547 + ... + 219797.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^55137672 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 55137672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

55137672 is an abundant number, since it is smaller than the sum of its proper divisors (101717208).

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

55137672 is a wasteful number, since it uses less digits than its factorization.

55137672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 55137672 is about 7425.4745302910. The cubic root of 55137672 is about 380.6122908227.

The spelling of 55137672 in words is "fifty-five million, one hundred thirty-seven thousand, six hundred seventy-two".