71990100 has 288 divisors, whose sum is σ = 285815040. Its totient is φ = 15137280.

The previous prime is 71990081. The next prime is 71990101. The reversal of 71990100 is 109917.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71990101) 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, 245554 + ... + 245846.

Almost surely, 2^71990100 is an apocalyptic number.

71990100 is a gapful number since it is divisible by the number (70) 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 71990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142907520).

71990100 is an abundant number, since it is smaller than the sum of its proper divisors (213824940).

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

71990100 is a wasteful number, since it uses less digits than its factorization.

71990100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 71990100 is about 8484.6979910896. The cubic root of 71990100 is about 415.9976963013.

The spelling of 71990100 in words is "seventy-one million, nine hundred ninety thousand, one hundred".