3562272 has 192 divisors, whose sum is σ = 12902400. Its totient is φ = 933120.

The previous prime is 3562267. The next prime is 3562301. The reversal of 3562272 is 2722653.

3562272 is a `hidden beast` number, since 35 + 622 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114897 + ... + 114927.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

Almost surely, 2^3562272 is an apocalyptic number.

3562272 is a gapful number since it is divisible by the number (32) 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 3562272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451200).

3562272 is an abundant number, since it is smaller than the sum of its proper divisors (9340128).

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

3562272 is a wasteful number, since it uses less digits than its factorization.

3562272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 3562272 is about 1887.3982091758. The cubic root of 3562272 is about 152.7246103432.

It can be divided in two parts, 356 and 2272, that added together give a triangular number (2628 = T₇₂).

The spelling of 3562272 in words is "three million, five hundred sixty-two thousand, two hundred seventy-two".