7938972 has 60 divisors (see below), whose sum is σ = 21039480. Its totient is φ = 2610144.

The previous prime is 7938929. The next prime is 7938977. The reversal of 7938972 is 2798397.

7938972 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7938977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34554 + ... + 34782.

It is an arithmetic number, because the mean of its divisors is an integer number (350658).

Almost surely, 2^7938972 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 7938972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519740).

7938972 is an abundant number, since it is smaller than the sum of its proper divisors (13100508).

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

7938972 is a wasteful number, since it uses less digits than its factorization.

7938972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 7938972 is about 2817.6181430421. The cubic root of 7938972 is about 199.4901346244.

The spelling of 7938972 in words is "seven million, nine hundred thirty-eight thousand, nine hundred seventy-two".