71953120 has 48 divisors (see below), whose sum is σ = 171376128. Its totient is φ = 28546560.

The previous prime is 71953117. The next prime is 71953127. The reversal of 71953120 is 2135917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71953127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18550 + ... + 22090.

It is an arithmetic number, because the mean of its divisors is an integer number (3570336).

Almost surely, 2^71953120 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 71953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85688064).

71953120 is an abundant number, since it is smaller than the sum of its proper divisors (99423008).

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

71953120 is a wasteful number, since it uses less digits than its factorization.

71953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 71953120 is about 8482.5184939380. The cubic root of 71953120 is about 415.9264539608.

The spelling of 71953120 in words is "seventy-one million, nine hundred fifty-three thousand, one hundred twenty".