7543872 has 84 divisors (see below), whose sum is σ = 24725376. Its totient is φ = 2154240.

The previous prime is 7543859. The next prime is 7543901. The reversal of 7543872 is 2783457.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a d-powerful number, because it can be written as 7⁵ + 5 + 4⁶ + 3¹³ + 8⁵ + 7⁸ + 2¹⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3097 + ... + 4967.

Almost surely, 2^7543872 is an apocalyptic number.

7543872 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 7543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362688).

7543872 is an abundant number, since it is smaller than the sum of its proper divisors (17181504).

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

7543872 is a wasteful number, since it uses less digits than its factorization.

7543872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1883 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 7543872 is about 2746.6110026722. The cubic root of 7543872 is about 196.1243137510.

The spelling of 7543872 in words is "seven million, five hundred forty-three thousand, eight hundred seventy-two".