71649600 has 336 divisors, whose sum is σ = 272125440. Its totient is φ = 16332800.

The previous prime is 71649593. The next prime is 71649607. The reversal of 71649600 is 694617.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71649593) and next prime (71649607).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71649607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214371 + ... + 1214429.

Almost surely, 2^71649600 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 71649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

71649600 is an abundant number, since it is smaller than the sum of its proper divisors (200475840).

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

71649600 is a wasteful number, since it uses less digits than its factorization.

71649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 71649600 is about 8464.6086737663. The cubic root of 71649600 is about 415.3407952086.

The spelling of 71649600 in words is "seventy-one million, six hundred forty-nine thousand, six hundred".