55557072 has 60 divisors (see below), whose sum is σ = 156149604. Its totient is φ = 18439680.

The previous prime is 55557043. The next prime is 55557077. The reversal of 55557072 is 27075555.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 6780816 = 6984^2 + 2604^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55557077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39778 + ... + 41150.

Almost surely, 2^55557072 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 55557072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78074802).

55557072 is an abundant number, since it is smaller than the sum of its proper divisors (100592532).

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

55557072 is a wasteful number, since it uses less digits than its factorization.

55557072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 55557072 is about 7453.6616504910. The cubic root of 55557072 is about 381.5748859440.

The spelling of 55557072 in words is "fifty-five million, five hundred fifty-seven thousand, seventy-two".