7440672 has 48 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 2460672.

The previous prime is 7440659. The next prime is 7440689. The reversal of 7440672 is 2760447.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×7440672³ (a number of 22 digits) contains 333 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16968 + ... + 17400.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^7440672 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 7440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

7440672 is an abundant number, since it is smaller than the sum of its proper divisors (12245568).

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

7440672 is a wasteful number, since it uses less digits than its factorization.

7440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 7440672 is about 2727.7595201924. The cubic root of 7440672 is about 195.2258789482.

The spelling of 7440672 in words is "seven million, four hundred forty thousand, six hundred seventy-two".