7387872 has 48 divisors (see below), whose sum is σ = 19876752. Its totient is φ = 2401280.

The previous prime is 7387871. The next prime is 7387909. The reversal of 7387872 is 2787837.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7387871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2998 + ... + 4874.

It is an arithmetic number, because the mean of its divisors is an integer number (414099).

Almost surely, 2^7387872 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 7387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938376).

7387872 is an abundant number, since it is smaller than the sum of its proper divisors (12488880).

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

7387872 is a wasteful number, since it uses less digits than its factorization.

7387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1923 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 7387872 is about 2718.0640169062. The cubic root of 7387872 is about 194.7629993800.

The spelling of 7387872 in words is "seven million, three hundred eighty-seven thousand, eight hundred seventy-two".