51039072 has 240 divisors, whose sum is σ = 179292960. Its totient is φ = 13934592.

The previous prime is 51039067. The next prime is 51039077. The reversal of 51039072 is 27093015.

It is an interprime number because it is at equal distance from previous prime (51039067) and next prime (51039077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51039077) 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 39 ways as a sum of consecutive naturals, for example, 526128 + ... + 526224.

It is an arithmetic number, because the mean of its divisors is an integer number (747054).

Almost surely, 2^51039072 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 51039072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89646480).

51039072 is an abundant number, since it is smaller than the sum of its proper divisors (128253888).

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

51039072 is a wasteful number, since it uses less digits than its factorization.

51039072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 51039072 is about 7144.1634919702. The cubic root of 51039072 is about 370.9376558686.

It can be divided in two parts, 5103 and 9072, that multiplied together give a square (46294416 = 6804²).

The spelling of 51039072 in words is "fifty-one million, thirty-nine thousand, seventy-two".