519372 has 60 divisors (see below), whose sum is σ = 1558480. Its totient is φ = 147744.

The previous prime is 519371. The next prime is 519373. The reversal of 519372 is 273915.

It is an interprime number because it is at equal distance from previous prime (519371) and next prime (519373).

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 519372.

It is not an unprimeable number, because it can be changed into a prime (519371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2154 + ... + 2382.

2⁵¹⁹³⁷² 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 519372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779240).

519372 is an abundant number, since it is smaller than the sum of its proper divisors (1039108).

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

519372 is a wasteful number, since it uses less digits than its factorization.

519372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

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

The square root of 519372 is about 720.6746838900. The cubic root of 519372 is about 80.3821301341.

The spelling of 519372 in words is "five hundred nineteen thousand, three hundred seventy-two".