51167200 has 72 divisors (see below), whose sum is σ = 142772112. Its totient is φ = 17541120.

The previous prime is 51167173. The next prime is 51167231. The reversal of 51167200 is 276115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032 + ... + 10168.

It is an arithmetic number, because the mean of its divisors is an integer number (1982946).

Almost surely, 2^51167200 is an apocalyptic number.

51167200 is a gapful number since it is divisible by the number (50) 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 51167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71386056).

51167200 is an abundant number, since it is smaller than the sum of its proper divisors (91604912).

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

51167200 is a wasteful number, since it uses less digits than its factorization.

51167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 51167200 is about 7153.1251911315. The cubic root of 51167200 is about 371.2477959412.

The spelling of 51167200 in words is "fifty-one million, one hundred sixty-seven thousand, two hundred".