71965152 has 192 divisors, whose sum is σ = 244661760. Its totient is φ = 20155392.

The previous prime is 71965151. The next prime is 71965181. The reversal of 71965152 is 25156917.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71965151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441423 + ... + 441585.

It is an arithmetic number, because the mean of its divisors is an integer number (1274280).

Almost surely, 2^71965152 is an apocalyptic number.

71965152 is a gapful number since it is divisible by the number (72) 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 71965152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122330880).

71965152 is an abundant number, since it is smaller than the sum of its proper divisors (172696608).

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

71965152 is a wasteful number, since it uses less digits than its factorization.

71965152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 71965152 is about 8483.2276876198. The cubic root of 71965152 is about 415.9496364078.

The spelling of 71965152 in words is "seventy-one million, nine hundred sixty-five thousand, one hundred fifty-two".