924072 has 32 divisors (see below), whose sum is σ = 2335200. Its totient is φ = 304704.

The previous prime is 924059. The next prime is 924073. The reversal of 924072 is 270429.

It is a super-2 number, since 2×924072² = 1707818122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 9⁴ + 2¹⁷ + 0 + 4⁹ + 7 + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (924073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3198 + ... + 3474.

It is an arithmetic number, because the mean of its divisors is an integer number (72975).

2⁹²⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

924072 is an abundant number, since it is smaller than the sum of its proper divisors (1411128).

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

924072 is a wasteful number, since it uses less digits than its factorization.

924072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 924072 is about 961.2866377933. The cubic root of 924072 is about 97.4021635287.

924072 divided by its sum of digits (24) gives a triangular number (38503 = T₂₇₇).

The spelling of 924072 in words is "nine hundred twenty-four thousand, seventy-two".