7914672 has 100 divisors (see below), whose sum is σ = 23766336. Its totient is φ = 2540160.

The previous prime is 7914667. The next prime is 7914679. The reversal of 7914672 is 2764197.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (7914679) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40078 + ... + 40274.

Almost surely, 2^7914672 is an apocalyptic number.

7914672 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 7914672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883168).

7914672 is an abundant number, since it is smaller than the sum of its proper divisors (15851664).

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

7914672 is a wasteful number, since it uses less digits than its factorization.

7914672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7914672 is about 2813.3026854571. The cubic root of 7914672 is about 199.2863901667.

The spelling of 7914672 in words is "seven million, nine hundred fourteen thousand, six hundred seventy-two".