921672 has 64 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 288000.

The previous prime is 921667. The next prime is 921677. The reversal of 921672 is 276129.

It is an interprime number because it is at equal distance from previous prime (921667) and next prime (921677).

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

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 921672.

It is not an unprimeable number, because it can be changed into a prime (921677) by changing a digit.

921672 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 15 ways as a sum of consecutive naturals, for example, 3547 + ... + 3797.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2⁹²¹⁶⁷² 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 921672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

921672 is an abundant number, since it is smaller than the sum of its proper divisors (1799928).

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

921672 is a wasteful number, since it uses less digits than its factorization.

921672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 921672 is about 960.0374992676. The cubic root of 921672 is about 97.3177661140.

It can be divided in two parts, 92 and 1672, that added together give a square (1764 = 42²).

The spelling of 921672 in words is "nine hundred twenty-one thousand, six hundred seventy-two".