7242912 has 96 divisors (see below), whose sum is σ = 21591360. Its totient is φ = 2361600.

The previous prime is 7242887. The next prime is 7242943. The reversal of 7242912 is 2192427.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71662 + ... + 71762.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^7242912 is an apocalyptic number.

7242912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795680).

7242912 is an abundant number, since it is smaller than the sum of its proper divisors (14348448).

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

7242912 is a wasteful number, since it uses less digits than its factorization.

7242912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 7242912 is about 2691.2658731534. The cubic root of 7242912 is about 193.4807384228.

The spelling of 7242912 in words is "seven million, two hundred forty-two thousand, nine hundred twelve".