53782272 has 144 divisors (see below), whose sum is σ = 164828160. Its totient is φ = 17280000.

The previous prime is 53782247. The next prime is 53782277. The reversal of 53782272 is 27228735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (53782277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214147 + ... + 214397.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^53782272 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 53782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82414080).

53782272 is an abundant number, since it is smaller than the sum of its proper divisors (111045888).

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

53782272 is a wasteful number, since it uses less digits than its factorization.

53782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 53782272 is about 7333.6397511740. The cubic root of 53782272 is about 377.4676305154.

The spelling of 53782272 in words is "fifty-three million, seven hundred eighty-two thousand, two hundred seventy-two".