50372000 has 144 divisors (see below), whose sum is σ = 144530568. Its totient is φ = 17203200.

The previous prime is 50371991. The next prime is 50372009. The reversal of 50372000 is 27305.

50372000 = 95³ + 96³ + ... + 129³.

It is an interprime number because it is at equal distance from previous prime (50371991) and next prime (50372009).

It can be written as a sum of positive squares in 4 ways, for example, as 31047184 + 19324816 = 5572^2 + 4396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50372000.

It is not an unprimeable number, because it can be changed into a prime (50372009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195872 + ... + 196128.

Almost surely, 2^50372000 is an apocalyptic number.

50372000 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 50372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72265284).

50372000 is an abundant number, since it is smaller than the sum of its proper divisors (94158568).

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

50372000 is a wasteful number, since it uses less digits than its factorization.

50372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 50372000 is about 7097.3234391565. The cubic root of 50372000 is about 369.3145331682.

Adding to 50372000 its reverse (27305), we get a palindrome (50399305).

The spelling of 50372000 in words is "fifty million, three hundred seventy-two thousand".