7503972 has 48 divisors (see below), whose sum is σ = 20173440. Its totient is φ = 2126592.

The previous prime is 7503971. The next prime is 7503983. The reversal of 7503972 is 2793057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7503971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12904 + ... + 13472.

It is an arithmetic number, because the mean of its divisors is an integer number (420280).

Almost surely, 2^7503972 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 7503972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10086720).

7503972 is an abundant number, since it is smaller than the sum of its proper divisors (12669468).

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

7503972 is a wasteful number, since it uses less digits than its factorization.

7503972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 7503972 is about 2739.3378762029. The cubic root of 7503972 is about 195.7779311918. Note that the first 3 decimals are identical.

Subtracting from 7503972 its reverse (2793057), we obtain a triangular number (4710915 = T₃₀₆₉).

The spelling of 7503972 in words is "seven million, five hundred three thousand, nine hundred seventy-two".