71946252 has 96 divisors (see below), whose sum is σ = 216921600. Its totient is φ = 20195136.

The previous prime is 71946247. The next prime is 71946253. The reversal of 71946252 is 25264917.

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

It is not an unprimeable number, because it can be changed into a prime (71946253) 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, 43798 + ... + 45410.

It is an arithmetic number, because the mean of its divisors is an integer number (2259600).

Almost surely, 2^71946252 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 71946252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108460800).

71946252 is an abundant number, since it is smaller than the sum of its proper divisors (144975348).

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

71946252 is a wasteful number, since it uses less digits than its factorization.

71946252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1684 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 71946252 is about 8482.1136516790. The cubic root of 71946252 is about 415.9132200025.

It can be divided in two parts, 719 and 46252, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 71946252 in words is "seventy-one million, nine hundred forty-six thousand, two hundred fifty-two".