71632125 has 48 divisors (see below), whose sum is σ = 132363504. Its totient is φ = 37248000.

The previous prime is 71632123. The next prime is 71632133. The reversal of 71632125 is 52123617.

It is a happy number.

71632125 is a `hidden beast` number, since 7 + 1 + 632 + 1 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57927321 + 13704804 = 7611^2 + 3702^2 .

It is not a de Polignac number, because 71632125 - 2¹ = 71632123 is a prime.

It is a super-2 number, since 2×71632125² = 10262322664031250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71632123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45349 + ... + 46901.

It is an arithmetic number, because the mean of its divisors is an integer number (2757573).

Almost surely, 2^71632125 is an apocalyptic number.

71632125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71632125 is a deficient number, since it is larger than the sum of its proper divisors (60731379).

71632125 is a wasteful number, since it uses less digits than its factorization.

71632125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1602 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 71632125 is about 8463.5763717237. The cubic root of 71632125 is about 415.3070259084.

The spelling of 71632125 in words is "seventy-one million, six hundred thirty-two thousand, one hundred twenty-five".