71632512000 has 1584 divisors, whose sum is σ = 318024016128. Its totient is φ = 16024780800.

The previous prime is 71632511957. The next prime is 71632512019. The reversal of 71632512000 is 21523617.

It is a happy number.

71632512000 is a `hidden beast` number, since 7 + 1 + 632 + 5 + 1 + 20 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1524095977 + ... + 1524096023.

Almost surely, 2^71632512000 is an apocalyptic number.

71632512000 is a gapful number since it is divisible by the number (70) 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 71632512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159012008064).

71632512000 is an abundant number, since it is smaller than the sum of its proper divisors (246391504128).

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

71632512000 is an equidigital number, since it uses as much as digits as its factorization.

71632512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 71632512000 in words is "seventy-one billion, six hundred thirty-two million, five hundred twelve thousand".