71552000 has 176 divisors, whose sum is σ = 196708512. Its totient is φ = 25804800.

The previous prime is 71551993. The next prime is 71552009. The reversal of 71552000 is 25517.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (71552009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663979 + ... + 1664021.

It is an arithmetic number, because the mean of its divisors is an integer number (1117662).

Almost surely, 2^71552000 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 71552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98354256).

71552000 is an abundant number, since it is smaller than the sum of its proper divisors (125156512).

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

71552000 is a wasteful number, since it uses less digits than its factorization.

71552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 71552000 is about 8458.8415282472. The cubic root of 71552000 is about 415.1521191985.

Adding to 71552000 its reverse (25517), we get a palindrome (71577517).

The spelling of 71552000 in words is "seventy-one million, five hundred fifty-two thousand".