7612272 has 80 divisors (see below), whose sum is σ = 22260480. Its totient is φ = 2490048.

The previous prime is 7612229. The next prime is 7612273. The reversal of 7612272 is 2722167.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7612273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28813 + ... + 29075.

It is an arithmetic number, because the mean of its divisors is an integer number (278256).

Almost surely, 2^7612272 is an apocalyptic number.

7612272 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 7612272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130240).

7612272 is an abundant number, since it is smaller than the sum of its proper divisors (14648208).

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

7612272 is a wasteful number, since it uses less digits than its factorization.

7612272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

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

The square root of 7612272 is about 2759.0346137734. The cubic root of 7612272 is about 196.7152817988.

The spelling of 7612272 in words is "seven million, six hundred twelve thousand, two hundred seventy-two".