919872 has 42 divisors (see below), whose sum is σ = 2638298. Its totient is φ = 306432.

The previous prime is 919871. The next prime is 919883. The reversal of 919872 is 278919.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 254016 = 816^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 919872.

It is not an unprimeable number, because it can be changed into a prime (919871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 223 + ... + 1374.

2⁹¹⁹⁸⁷² 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 919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319149).

919872 is an abundant number, since it is smaller than the sum of its proper divisors (1718426).

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

919872 is a wasteful number, since it uses less digits than its factorization.

919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1602 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 919872 is about 959.0995777290. The cubic root of 919872 is about 97.2543718558.

919872 divided by its sum of digits (36) gives a palindrome (25552).

It can be divided in two parts, 9 and 19872, that added together give a square (19881 = 141²).

The spelling of 919872 in words is "nine hundred nineteen thousand, eight hundred seventy-two".