71952088 has 48 divisors (see below), whose sum is σ = 153829800. Its totient is φ = 31449600.

The previous prime is 71952061. The next prime is 71952121. The reversal of 71952088 is 88025917.

It is a self number, because there is not a number n which added to its sum of digits gives 71952088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24288 + ... + 27088.

Almost surely, 2^71952088 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 71952088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76914900).

71952088 is an abundant number, since it is smaller than the sum of its proper divisors (81877712).

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

71952088 is a wasteful number, since it uses less digits than its factorization.

71952088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 71952088 is about 8482.4576627296. The cubic root of 71952088 is about 415.9244654524.

The spelling of 71952088 in words is "seventy-one million, nine hundred fifty-two thousand, eighty-eight".