7363872 has 72 divisors (see below), whose sum is σ = 21739536. Its totient is φ = 2452032.

The previous prime is 7363823. The next prime is 7363877. The reversal of 7363872 is 2783637.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7363872² = 108453221664768, which contains 22 as substring.

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 7⁴ + 3³ + 6⁴ + 3¹³ + 8³ + 7⁸ + 2⁹ .

It is not an unprimeable number, because it can be changed into a prime (7363877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7303 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (301938).

Almost surely, 2^7363872 is an apocalyptic number.

7363872 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 7363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869768).

7363872 is an abundant number, since it is smaller than the sum of its proper divisors (14375664).

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

7363872 is an equidigital number, since it uses as much as digits as its factorization.

7363872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 952 counting only the distinct ones).

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

The square root of 7363872 is about 2713.6455184862. The cubic root of 7363872 is about 194.5518703501.

The spelling of 7363872 in words is "seven million, three hundred sixty-three thousand, eight hundred seventy-two".