7500972 has 48 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 2342592.

The previous prime is 7500949. The next prime is 7500979. The reversal of 7500972 is 2790057.

It is a happy number.

7500972 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7500979) 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, 37978 + ... + 38174.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 2^7500972 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 7500972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

7500972 is an abundant number, since it is smaller than the sum of its proper divisors (11126868).

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

7500972 is a wasteful number, since it uses less digits than its factorization.

7500972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 7500972 is about 2738.7902438851. The cubic root of 7500972 is about 195.7518378073.

Subtracting from 7500972 its reverse (2790057), we obtain a triangular number (4710915 = T₃₀₆₉).

It can be divided in two parts, 7500 and 972, that multiplied together give a square (7290000 = 2700²).

The spelling of 7500972 in words is "seven million, five hundred thousand, nine hundred seventy-two".