51672400 has 120 divisors (see below), whose sum is σ = 140997920. Its totient is φ = 18040320.

The previous prime is 51672391. The next prime is 51672407. The reversal of 51672400 is 427615.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51672407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 98539 + ... + 99061.

Almost surely, 2^51672400 is an apocalyptic number.

51672400 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 51672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70498960).

51672400 is an abundant number, since it is smaller than the sum of its proper divisors (89325520).

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

51672400 is a wasteful number, since it uses less digits than its factorization.

51672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 51672400 is about 7188.3516886697. The cubic root of 51672400 is about 372.4656365159.

The spelling of 51672400 in words is "fifty-one million, six hundred seventy-two thousand, four hundred".