7621272 has 48 divisors (see below), whose sum is σ = 20807280. Its totient is φ = 2520000.

The previous prime is 7621259. The next prime is 7621399. The reversal of 7621272 is 2721267.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10522 + ... + 11222.

It is an arithmetic number, because the mean of its divisors is an integer number (433485).

Almost surely, 2^7621272 is an apocalyptic number.

7621272 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 7621272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403640).

7621272 is an abundant number, since it is smaller than the sum of its proper divisors (13186008).

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

7621272 is a wasteful number, since it uses less digits than its factorization.

7621272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 7621272 is about 2760.6651372450. The cubic root of 7621272 is about 196.7927768517.

It can be divided in two parts, 762127 and 2, that added together give a square (762129 = 873²).

The spelling of 7621272 in words is "seven million, six hundred twenty-one thousand, two hundred seventy-two".