71232255900 has 1152 divisors, whose sum is σ = 282081945600. Its totient is φ = 15228518400.

The previous prime is 71232255877. The next prime is 71232255907. The reversal of 71232255900 is 955223217.

71232255900 is a `hidden beast` number, since 7 + 12 + 32 + 25 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71232255907) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 691575249 + ... + 691575351.

It is an arithmetic number, because the mean of its divisors is an integer number (244862800).

Almost surely, 2^71232255900 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 71232255900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141040972800).

71232255900 is an abundant number, since it is smaller than the sum of its proper divisors (210849689700).

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

71232255900 is a wasteful number, since it uses less digits than its factorization.

71232255900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 71232255900 in words is "seventy-one billion, two hundred thirty-two million, two hundred fifty-five thousand, nine hundred".