7961472 has 48 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 2653440.

The previous prime is 7961461. The next prime is 7961477. The reversal of 7961472 is 2741697.

It is a happy number.

7961472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7961477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2304 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 2^7961472 is an apocalyptic number.

7961472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

7961472 is the 2304-th pentagonal number.

It is an amenable number.

7961472 is an abundant number, since it is smaller than the sum of its proper divisors (14951808).

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

7961472 is a wasteful number, since it uses less digits than its factorization.

7961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6916 counting only the distinct ones).

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

The square root of 7961472 is about 2821.6080521575. The cubic root of 7961472 is about 199.6784165308.

The spelling of 7961472 in words is "seven million, nine hundred sixty-one thousand, four hundred seventy-two".