71613072 has 120 divisors (see below), whose sum is σ = 210965664. Its totient is φ = 23514624.

The previous prime is 71613041. The next prime is 71613089. The reversal of 71613072 is 27031617.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439263 + ... + 439425.

Almost surely, 2^71613072 is an apocalyptic number.

71613072 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 71613072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105482832).

71613072 is an abundant number, since it is smaller than the sum of its proper divisors (139352592).

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

71613072 is a wasteful number, since it uses less digits than its factorization.

71613072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 71613072 is about 8462.4507088668. The cubic root of 71613072 is about 415.2702009670.

Adding to 71613072 its reverse (27031617), we get a palindrome (98644689).

The spelling of 71613072 in words is "seventy-one million, six hundred thirteen thousand, seventy-two".