7833672 has 160 divisors (see below), whose sum is σ = 27529920. Its totient is φ = 2021760.

The previous prime is 7833671. The next prime is 7833673. The reversal of 7833672 is 2763387.

It is an interprime number because it is at equal distance from previous prime (7833671) and next prime (7833673).

It is a super-2 number, since 2×7833672² = 122732834007168, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (7833671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49818 + ... + 49974.

It is an arithmetic number, because the mean of its divisors is an integer number (172062).

Almost surely, 2^7833672 is an apocalyptic number.

7833672 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 7833672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764960).

7833672 is an abundant number, since it is smaller than the sum of its proper divisors (19696248).

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

7833672 is a wasteful number, since it uses less digits than its factorization.

7833672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 7833672 is about 2798.8697718901. The cubic root of 7833672 is about 198.6042149141.

The spelling of 7833672 in words is "seven million, eight hundred thirty-three thousand, six hundred seventy-two".