7432416 has 72 divisors (see below), whose sum is σ = 21405384. Its totient is φ = 2446080.

The previous prime is 7432409. The next prime is 7432457. The reversal of 7432416 is 6142347.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7432416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37630 + ... + 37826.

It is an arithmetic number, because the mean of its divisors is an integer number (297297).

Almost surely, 2^7432416 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 7432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692).

7432416 is an abundant number, since it is smaller than the sum of its proper divisors (13972968).

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

7432416 is a wasteful number, since it uses less digits than its factorization.

7432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 7432416 is about 2726.2457702856. The cubic root of 7432416 is about 195.1536461643.

The spelling of 7432416 in words is "seven million, four hundred thirty-two thousand, four hundred sixteen".