919672 has 32 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 411264.

The previous prime is 919631. The next prime is 919679. The reversal of 919672 is 276919.

It is a super-3 number, since 3×919672³ = 2333566317889657344, which contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919679) by changing a digit.

919672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3729 + ... + 3967.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

2⁹¹⁹⁶⁷² 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 919672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

919672 is an abundant number, since it is smaller than the sum of its proper divisors (995528).

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

919672 is a wasteful number, since it uses less digits than its factorization.

919672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The square root of 919672 is about 958.9953076006. The cubic root of 919672 is about 97.2473229460.

The spelling of 919672 in words is "nine hundred nineteen thousand, six hundred seventy-two".