55779072 has 72 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 18263040.

The previous prime is 55779049. The next prime is 55779077. The reversal of 55779072 is 27097755.

It is a super-2 number, since 2×55779072² = 6222609746362368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55779077) 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 7 ways as a sum of consecutive naturals, for example, 44697 + ... + 45927.

Almost surely, 2^55779072 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 55779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

55779072 is an abundant number, since it is smaller than the sum of its proper divisors (95313408).

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

55779072 is a wasteful number, since it uses less digits than its factorization.

55779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 55779072 is about 7468.5388129138. The cubic root of 55779072 is about 382.0824543555.

The spelling of 55779072 in words is "fifty-five million, seven hundred seventy-nine thousand, seventy-two".