50724000 has 144 divisors (see below), whose sum is σ = 180147240. Its totient is φ = 13516800.

The previous prime is 50723999. The next prime is 50724013. The reversal of 50724000 is 42705.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 47941776 = 1668^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35296 + ... + 36704.

Almost surely, 2^50724000 is an apocalyptic number.

50724000 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 50724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90073620).

50724000 is an abundant number, since it is smaller than the sum of its proper divisors (129423240).

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

50724000 is a wasteful number, since it uses less digits than its factorization.

50724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 50724000 is about 7122.0783483475. The cubic root of 50724000 is about 370.1727948682.

Adding to 50724000 its reverse (42705), we get a palindrome (50766705).

The spelling of 50724000 in words is "fifty million, seven hundred twenty-four thousand".