50772960 has 384 divisors, whose sum is σ = 214824960. Its totient is φ = 10948608.

The previous prime is 50772941. The next prime is 50772961. The reversal of 50772960 is 6927705.

50772960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (50772961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695484 + ... + 695556.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^50772960 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 50772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

50772960 is an abundant number, since it is smaller than the sum of its proper divisors (164052000).

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

50772960 is a wasteful number, since it uses less digits than its factorization.

50772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 50772960 is about 7125.5147182502. The cubic root of 50772960 is about 370.2918564041.

50772960 divided by its sum of digits (36) gives a triangular number (1410360 = T₁₆₇₉).

The spelling of 50772960 in words is "fifty million, seven hundred seventy-two thousand, nine hundred sixty".