51354072 has 192 divisors, whose sum is σ = 177465600. Its totient is φ = 13029120.

The previous prime is 51354071. The next prime is 51354077. The reversal of 51354072 is 27045315.

It is a happy number.

51354072 is a `hidden beast` number, since 51 + 3 + 540 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51354071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327018 + ... + 327174.

It is an arithmetic number, because the mean of its divisors is an integer number (924300).

Almost surely, 2^51354072 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 51354072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88732800).

51354072 is an abundant number, since it is smaller than the sum of its proper divisors (126111528).

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

51354072 is a wasteful number, since it uses less digits than its factorization.

51354072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 51354072 is about 7166.1755490638. The cubic root of 51354072 is about 371.6992018636.

Subtracting from 51354072 its sum of digits (27), we obtain a triangular number (51354045 = T₁₀₁₃₄).

Adding to 51354072 its reverse (27045315), we get a palindrome (78399387).

The spelling of 51354072 in words is "fifty-one million, three hundred fifty-four thousand, seventy-two".