762272 has 48 divisors (see below), whose sum is σ = 1778112. Its totient is φ = 314880.

The previous prime is 762257. The next prime is 762277. The reversal of 762272 is 272267.

It is not an unprimeable number, because it can be changed into a prime (762277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9143 + ... + 9225.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2⁷⁶²²⁷² 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 762272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056).

762272 is an abundant number, since it is smaller than the sum of its proper divisors (1015840).

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

762272 is a wasteful number, since it uses less digits than its factorization.

762272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 762272 is about 873.0818976476. The cubic root of 762272 is about 91.3489000882.

The spelling of 762272 in words is "seven hundred sixty-two thousand, two hundred seventy-two".