86072371200 has 1152 divisors, whose sum is σ = 347321520000. Its totient is φ = 20808990720.

The previous prime is 86072371157. The next prime is 86072371261. The reversal of 86072371200 is 217327068.

86072371200 is a `hidden beast` number, since 8 + 607 + 2 + 37 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761702344 + ... + 761702456.

It is an arithmetic number, because the mean of its divisors is an integer number (301494375).

Almost surely, 2^86072371200 is an apocalyptic number.

86072371200 is a gapful number since it is divisible by the number (80) 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 86072371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760000).

86072371200 is an abundant number, since it is smaller than the sum of its proper divisors (261249148800).

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

86072371200 is a wasteful number, since it uses less digits than its factorization.

86072371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 86072371200 its reverse (217327068), we get a palindrome (86289698268).

The spelling of 86072371200 in words is "eighty-six billion, seventy-two million, three hundred seventy-one thousand, two hundred".