7945272 has 48 divisors (see below), whose sum is σ = 21682440. Its totient is φ = 2628288.

The previous prime is 7945261. The next prime is 7945277. The reversal of 7945272 is 2725497.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁴ + 9³ + 4² + 5⁷ + 2¹¹ + 7⁸ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7945277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11398 + ... + 12074.

Almost surely, 2^7945272 is an apocalyptic number.

7945272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7945272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841220).

7945272 is an abundant number, since it is smaller than the sum of its proper divisors (13737168).

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

7945272 is a wasteful number, since it uses less digits than its factorization.

7945272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 7945272 is about 2818.7358868826. The cubic root of 7945272 is about 199.5428893787.

It can be divided in two parts, 79452 and 72, that added together give a square (79524 = 282²).

The spelling of 7945272 in words is "seven million, nine hundred forty-five thousand, two hundred seventy-two".