71933130 has 64 divisors (see below), whose sum is σ = 192741120. Its totient is φ = 19090368.

The previous prime is 71933129. The next prime is 71933149. The reversal of 71933130 is 3133917.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71933094 and 71933103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70504 + ... + 71516.

It is an arithmetic number, because the mean of its divisors is an integer number (3011580).

Almost surely, 2^71933130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71933130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96370560).

71933130 is an abundant number, since it is smaller than the sum of its proper divisors (120807990).

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

71933130 is a wasteful number, since it uses less digits than its factorization.

71933130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 71933130 is about 8481.3401063747. The cubic root of 71933130 is about 415.8879328613.

The spelling of 71933130 in words is "seventy-one million, nine hundred thirty-three thousand, one hundred thirty".