71389032 has 192 divisors, whose sum is σ = 221652480. Its totient is φ = 19008000.

The previous prime is 71389027. The next prime is 71389037. The reversal of 71389032 is 23098317.

It is an interprime number because it is at equal distance from previous prime (71389027) and next prime (71389037).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 71388984 and 71389002.

It is not an unprimeable number, because it can be changed into a prime (71389037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170282 + ... + 1170342.

It is an arithmetic number, because the mean of its divisors is an integer number (1154440).

Almost surely, 2^71389032 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 71389032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

71389032 is an abundant number, since it is smaller than the sum of its proper divisors (150263448).

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

71389032 is a wasteful number, since it uses less digits than its factorization.

71389032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 71389032 is about 8449.2030393405. The cubic root of 71389032 is about 414.8366938628.

The spelling of 71389032 in words is "seventy-one million, three hundred eighty-nine thousand, thirty-two".