7972384 has 24 divisors (see below), whose sum is σ = 17938368. Its totient is φ = 3416640.

The previous prime is 7972373. The next prime is 7972387. The reversal of 7972384 is 4832797.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 7 + 9⁴ + 7⁷ + 2²¹ + 3¹⁴ + 8 + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (7972387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17572 + ... + 18019.

It is an arithmetic number, because the mean of its divisors is an integer number (747432).

Almost surely, 2^7972384 is an apocalyptic number.

It is an amenable number.

7972384 is an abundant number, since it is smaller than the sum of its proper divisors (9965984).

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

7972384 is a wasteful number, since it uses less digits than its factorization.

7972384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35608 (or 35600 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 7972384 is about 2823.5410391917. The cubic root of 7972384 is about 199.7696013509.

The spelling of 7972384 in words is "seven million, nine hundred seventy-two thousand, three hundred eighty-four".