7372736 has 42 divisors (see below), whose sum is σ = 17026128. Its totient is φ = 3158400.

The previous prime is 7372721. The next prime is 7372753. The reversal of 7372736 is 6372737.

It is a super-2 number, since 2×7372736² = 108714472251392, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7372696 and 7372705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1961 + ... + 4311.

It is an arithmetic number, because the mean of its divisors is an integer number (405384).

Almost surely, 2^7372736 is an apocalyptic number.

7372736 is the 1568-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513064).

7372736 is an abundant number, since it is smaller than the sum of its proper divisors (9653392).

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

7372736 is a wasteful number, since it uses less digits than its factorization.

7372736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2360 counting only the distinct ones).

The product of its digits is 37044, while the sum is 35.

The square root of 7372736 is about 2715.2782546177. The cubic root of 7372736 is about 194.6299006899.

Subtracting from 7372736 its reverse (6372737), we obtain a palindrome (999999).

The spelling of 7372736 in words is "seven million, three hundred seventy-two thousand, seven hundred thirty-six".