78162072000 has 224 divisors, whose sum is σ = 264389396544. Its totient is φ = 20334592000.

The previous prime is 78162071989. The next prime is 78162072049. The reversal of 78162072000 is 27026187.

It is a super-2 number, since 2×78162072000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944284 + ... + 1023716.

It is an arithmetic number, because the mean of its divisors is an integer number (1180309806).

Almost surely, 2^78162072000 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 78162072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132194698272).

78162072000 is an abundant number, since it is smaller than the sum of its proper divisors (186227324544).

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

78162072000 is a wasteful number, since it uses less digits than its factorization.

78162072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79504 (or 79484 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

Adding to 78162072000 its reverse (27026187), we get a palindrome (78189098187).

The spelling of 78162072000 in words is "seventy-eight billion, one hundred sixty-two million, seventy-two thousand".