52177920 has 176 divisors, whose sum is σ = 172930560. Its totient is φ = 13418496.

The previous prime is 52177919. The next prime is 52177921. The reversal of 52177920 is 2977125.

It is an interprime number because it is at equal distance from previous prime (52177919) and next prime (52177921).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52177921) 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, 660441 + ... + 660519.

It is an arithmetic number, because the mean of its divisors is an integer number (982560).

Almost surely, 2^52177920 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 52177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86465280).

52177920 is an abundant number, since it is smaller than the sum of its proper divisors (120752640).

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

52177920 is a wasteful number, since it uses less digits than its factorization.

52177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 52177920 is about 7223.4285488264. The cubic root of 52177920 is about 373.6763287716.

The spelling of 52177920 in words is "fifty-two million, one hundred seventy-seven thousand, nine hundred twenty".