7925632 has 64 divisors (see below), whose sum is σ = 18592560. Its totient is φ = 3317760.

The previous prime is 7925629. The next prime is 7925651. The reversal of 7925632 is 2365297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 7⁸ + 9² + 2⁷ + 5⁵ + 6⁴ + 3¹⁰ + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18088 + ... + 18520.

Almost surely, 2^7925632 is an apocalyptic number.

7925632 is the 1408-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7925632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296280).

7925632 is an abundant number, since it is smaller than the sum of its proper divisors (10666928).

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

7925632 is a wasteful number, since it uses less digits than its factorization.

7925632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 7925632 is about 2815.2499000977. The cubic root of 7925632 is about 199.3783363402.

It can be divided in two parts, 792 and 5632, that multiplied together give a square (4460544 = 2112²).

The spelling of 7925632 in words is "seven million, nine hundred twenty-five thousand, six hundred thirty-two".