52794720 has 288 divisors, whose sum is σ = 205117920. Its totient is φ = 12672000.

The previous prime is 52794713. The next prime is 52794733. The reversal of 52794720 is 2749725.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 522670 + ... + 522770.

It is an arithmetic number, because the mean of its divisors is an integer number (712215).

Almost surely, 2^52794720 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 52794720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

52794720 is an abundant number, since it is smaller than the sum of its proper divisors (152323200).

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

52794720 is a wasteful number, since it uses less digits than its factorization.

52794720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 52794720 is about 7265.9975227081. The cubic root of 52794720 is about 375.1429854735.

Adding to 52794720 its sum of digits (36), we get a square (52794756 = 7266²).

It can be divided in two parts, 5279 and 4720, that added together give a palindrome (9999).

The spelling of 52794720 in words is "fifty-two million, seven hundred ninety-four thousand, seven hundred twenty".