52727136 has 144 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 13681920.

The previous prime is 52727131. The next prime is 52727153. The reversal of 52727136 is 63172725.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 52727097 and 52727106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52727131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51235 + ... + 52253.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^52727136 is an apocalyptic number.

52727136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52727136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

52727136 is an abundant number, since it is smaller than the sum of its proper divisors (123088224).

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

52727136 is a wasteful number, since it uses less digits than its factorization.

52727136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1042 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 52727136 is about 7261.3453298958. The cubic root of 52727136 is about 374.9828401037.

The spelling of 52727136 in words is "fifty-two million, seven hundred twenty-seven thousand, one hundred thirty-six".