71953920 has 200 divisors, whose sum is σ = 258458904. Its totient is φ = 19132416.

The previous prime is 71953909. The next prime is 71953927. The reversal of 71953920 is 2935917.

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 (71953927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207187 + ... + 207533.

Almost surely, 2^71953920 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 71953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129229452).

71953920 is an abundant number, since it is smaller than the sum of its proper divisors (186504984).

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

71953920 is an equidigital number, since it uses as much as digits as its factorization.

71953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 71953920 is about 8482.5656496133. The cubic root of 71953920 is about 415.9279954271.

The spelling of 71953920 in words is "seventy-one million, nine hundred fifty-three thousand, nine hundred twenty".