73971952 has 40 divisors (see below), whose sum is σ = 148740480. Its totient is φ = 35600640.

The previous prime is 73971949. The next prime is 73971967. The reversal of 73971952 is 25917937.

It is a junction number, because it is equal to n+sod(n) for n = 73971899 and 73971908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145074 + ... + 145582.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512).

Almost surely, 2^73971952 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 73971952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74370240).

73971952 is an abundant number, since it is smaller than the sum of its proper divisors (74768528).

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

73971952 is a wasteful number, since it uses less digits than its factorization.

73971952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its digits is 119070, while the sum is 43.

The square root of 73971952 is about 8600.6948556497. The cubic root of 73971952 is about 419.7805959117.

The spelling of 73971952 in words is "seventy-three million, nine hundred seventy-one thousand, nine hundred fifty-two".