71772168 has 64 divisors (see below), whose sum is σ = 194040000. Its totient is φ = 21991680.

The previous prime is 71772157. The next prime is 71772191. The reversal of 71772168 is 86127717.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143583 + ... + 144081.

It is an arithmetic number, because the mean of its divisors is an integer number (3031875).

Almost surely, 2^71772168 is an apocalyptic number.

71772168 is a gapful number since it is divisible by the number (78) 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 71772168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97020000).

71772168 is an abundant number, since it is smaller than the sum of its proper divisors (122267832).

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

71772168 is a wasteful number, since it uses less digits than its factorization.

71772168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its digits is 32928, while the sum is 39.

The square root of 71772168 is about 8471.8456076583. The cubic root of 71772168 is about 415.5774957145.

The spelling of 71772168 in words is "seventy-one million, seven hundred seventy-two thousand, one hundred sixty-eight".