52437120 has 128 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 13516800.

The previous prime is 52437113. The next prime is 52437127. The reversal of 52437120 is 2173425.

It is an interprime number because it is at equal distance from previous prime (52437113) and next prime (52437127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (52437127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59080 + ... + 59960.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^52437120 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 52437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

52437120 is an abundant number, since it is smaller than the sum of its proper divisors (120293760).

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

52437120 is a wasteful number, since it uses less digits than its factorization.

52437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 52437120 is about 7241.3479408188. The cubic root of 52437120 is about 374.2940674808.

The spelling of 52437120 in words is "fifty-two million, four hundred thirty-seven thousand, one hundred twenty".