71620000 has 60 divisors (see below), whose sum is σ = 176245146. Its totient is φ = 28640000.

The previous prime is 71619967. The next prime is 71620001. The reversal of 71620000 is 2617.

It can be written as a sum of positive squares in 5 ways, for example, as 7683984 + 63936016 = 2772^2 + 7996^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (71620001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18210 + ... + 21790.

Almost surely, 2^71620000 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 71620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88122573).

71620000 is an abundant number, since it is smaller than the sum of its proper divisors (104625146).

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

71620000 is an equidigital number, since it uses as much as digits as its factorization.

71620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 71620000 is about 8462.8600366543. The cubic root of 71620000 is about 415.2835919076.

Adding to 71620000 its reverse (2617), we get a palindrome (71622617).

The spelling of 71620000 in words is "seventy-one million, six hundred twenty thousand".