7825572 has 72 divisors (see below), whose sum is σ = 20975136. Its totient is φ = 2550528.

The previous prime is 7825553. The next prime is 7825591. The reversal of 7825572 is 2755287.

7825572 is a `hidden beast` number, since 7 + 82 + 5 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (7825553) and next prime (7825591).

It is a super-2 number, since 2×7825572² = 122479154254368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80628 + ... + 80724.

Almost surely, 2^7825572 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 7825572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10487568).

7825572 is an abundant number, since it is smaller than the sum of its proper divisors (13149564).

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

7825572 is a wasteful number, since it uses less digits than its factorization.

7825572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 7825572 is about 2797.4223849823. The cubic root of 7825572 is about 198.5357391970.

The spelling of 7825572 in words is "seven million, eight hundred twenty-five thousand, five hundred seventy-two".