71950032 has 300 divisors, whose sum is σ = 266831136. Its totient is φ = 18506880.

The previous prime is 71950031. The next prime is 71950037. The reversal of 71950032 is 23005917.

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 = 71949978 and 71950005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71950031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 698493 + ... + 698595.

Almost surely, 2^71950032 is an apocalyptic number.

71950032 is a gapful number since it is divisible by the number (72) 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 71950032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133415568).

71950032 is an abundant number, since it is smaller than the sum of its proper divisors (194881104).

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

71950032 is a wasteful number, since it uses less digits than its factorization.

71950032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 71950032 is about 8482.3364705722. The cubic root of 71950032 is about 415.9205037937.

Adding to 71950032 its reverse (23005917), we get a palindrome (94955949).

The spelling of 71950032 in words is "seventy-one million, nine hundred fifty thousand, thirty-two".