7837872 has 40 divisors (see below), whose sum is σ = 23141376. Its totient is φ = 2239296.

The previous prime is 7837831. The next prime is 7837883. The reversal of 7837872 is 2787387.

7837872 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7837872² = 122864474976768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

7837872 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11328 + ... + 11999.

Almost surely, 2^7837872 is an apocalyptic number.

It is an amenable number.

7837872 is an abundant number, since it is smaller than the sum of its proper divisors (15303504).

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

7837872 is a wasteful number, since it uses less digits than its factorization.

7837872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23345 (or 23339 counting only the distinct ones).

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

The square root of 7837872 is about 2799.6199742108. The cubic root of 7837872 is about 198.6397022595.

It can be divided in two parts, 78 and 37872, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 7837872 in words is "seven million, eight hundred thirty-seven thousand, eight hundred seventy-two".