50200072 has 64 divisors (see below), whose sum is σ = 106086960. Its totient is φ = 22118400.

The previous prime is 50200069. The next prime is 50200081. The reversal of 50200072 is 27000205.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 835396 + 49364676 = 914^2 + 7026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260008 + ... + 260200.

Almost surely, 2^50200072 is an apocalyptic number.

50200072 is a gapful number since it is divisible by the number (52) 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 50200072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53043480).

50200072 is an abundant number, since it is smaller than the sum of its proper divisors (55886888).

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

50200072 is a wasteful number, since it uses less digits than its factorization.

50200072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 50200072 is about 7085.2009145825. The cubic root of 50200072 is about 368.8938769399.

Adding to 50200072 its reverse (27000205), we get a palindrome (77200277).

The spelling of 50200072 in words is "fifty million, two hundred thousand, seventy-two".