71545950 has 192 divisors, whose sum is σ = 230699520. Its totient is φ = 15966720.

The previous prime is 71545927. The next prime is 71545951. The reversal of 71545950 is 5954517.

It is a super-2 number, since 2×71545950² = 10237645922805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71545951) 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 95 ways as a sum of consecutive naturals, for example, 633094 + ... + 633206.

It is an arithmetic number, because the mean of its divisors is an integer number (1201560).

Almost surely, 2^71545950 is an apocalyptic number.

71545950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71545950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115349760).

71545950 is an abundant number, since it is smaller than the sum of its proper divisors (159153570).

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

71545950 is a wasteful number, since it uses less digits than its factorization.

71545950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 71545950 is about 8458.4839067057. The cubic root of 71545950 is about 415.1404179597.

It can be divided in two parts, 715 and 45950, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 71545950 in words is "seventy-one million, five hundred forty-five thousand, nine hundred fifty".