71496100 has 72 divisors (see below), whose sum is σ = 171100160. Its totient is φ = 25764480.

The previous prime is 71496091. The next prime is 71496151. The reversal of 71496100 is 169417.

It is a super-2 number, since 2×71496100² = 10223384630420000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55261 + ... + 56539.

Almost surely, 2^71496100 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 71496100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85550080).

71496100 is an abundant number, since it is smaller than the sum of its proper divisors (99604060).

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

71496100 is a wasteful number, since it uses less digits than its factorization.

71496100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 71496100 is about 8455.5366476647. The cubic root of 71496100 is about 415.0439785009.

The spelling of 71496100 in words is "seventy-one million, four hundred ninety-six thousand, one hundred".