52767120 has 160 divisors (see below), whose sum is σ = 191059200. Its totient is φ = 12042240.

The previous prime is 52767109. The next prime is 52767131. The reversal of 52767120 is 2176725.

It is an interprime number because it is at equal distance from previous prime (52767109) and next prime (52767131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82000 + ... + 82640.

It is an arithmetic number, because the mean of its divisors is an integer number (1194120).

Almost surely, 2^52767120 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 52767120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529600).

52767120 is an abundant number, since it is smaller than the sum of its proper divisors (138292080).

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

52767120 is a wasteful number, since it uses less digits than its factorization.

52767120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 52767120 is about 7264.0980169598. The cubic root of 52767120 is about 375.0776017179.

The spelling of 52767120 in words is "fifty-two million, seven hundred sixty-seven thousand, one hundred twenty".