51619072 has 72 divisors (see below), whose sum is σ = 113135400. Its totient is φ = 23396352.

The previous prime is 51619063. The next prime is 51619079. The reversal of 51619072 is 27091615.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 25240576 = 5136^2 + 5024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51619079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126004 + ... + 126412.

It is an arithmetic number, because the mean of its divisors is an integer number (1571325).

Almost surely, 2^51619072 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 51619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567700).

51619072 is an abundant number, since it is smaller than the sum of its proper divisors (61516328).

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

51619072 is a wasteful number, since it uses less digits than its factorization.

51619072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 51619072 is about 7184.6413967574. The cubic root of 51619072 is about 372.3374592268.

The spelling of 51619072 in words is "fifty-one million, six hundred nineteen thousand, seventy-two".