7412472 has 112 divisors (see below), whose sum is σ = 22034880. Its totient is φ = 2332800.

The previous prime is 7412467. The next prime is 7412477. The reversal of 7412472 is 2742147.

It is a happy number.

7412472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7412467) and next prime (7412477).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7412477) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 180772 + ... + 180812.

It is an arithmetic number, because the mean of its divisors is an integer number (196740).

Almost surely, 2^7412472 is an apocalyptic number.

7412472 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 7412472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017440).

7412472 is an abundant number, since it is smaller than the sum of its proper divisors (14622408).

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

7412472 is a wasteful number, since it uses less digits than its factorization.

7412472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 7412472 is about 2722.5855358464. The cubic root of 7412472 is about 194.9789326353.

The spelling of 7412472 in words is "seven million, four hundred twelve thousand, four hundred seventy-two".