7372032 has 72 divisors (see below), whose sum is σ = 20358240. Its totient is φ = 2365440.

The previous prime is 7372009. The next prime is 7372037. The reversal of 7372032 is 2302737.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁴ + 3⁷ + 7⁸ + 2⁷ + 0 + 3¹³ + 2¹³ .

It is a junction number, because it is equal to n+sod(n) for n = 7371993 and 7372011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7372037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22107 + ... + 22437.

Almost surely, 2^7372032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179120).

7372032 is an abundant number, since it is smaller than the sum of its proper divisors (12986208).

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

7372032 is a wasteful number, since it uses less digits than its factorization.

7372032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 7372032 is about 2715.1486147171. The cubic root of 7372032 is about 194.6237056215.

Adding to 7372032 its reverse (2302737), we get a palindrome (9674769).

The spelling of 7372032 in words is "seven million, three hundred seventy-two thousand, thirty-two".