51072000 has 352 divisors, whose sum is σ = 204372480. Its totient is φ = 11059200.

The previous prime is 51071941. The next prime is 51072017. The reversal of 51072000 is 27015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 2687991 + ... + 2688009.

Almost surely, 2^51072000 is an apocalyptic number.

51072000 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 51072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102186240).

51072000 is an abundant number, since it is smaller than the sum of its proper divisors (153300480).

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

51072000 is a wasteful number, since it uses less digits than its factorization.

51072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 51072000 is about 7146.4676589207. The cubic root of 51072000 is about 371.0174092087.

Adding to 51072000 its reverse (27015), we get a palindrome (51099015).

The spelling of 51072000 in words is "fifty-one million, seventy-two thousand".