78362559072 has 144 divisors (see below), whose sum is σ = 254760629760. Its totient is φ = 22382067456.

The previous prime is 78362559059. The next prime is 78362559073. The reversal of 78362559072 is 27095526387.

78362559072 is a `hidden beast` number, since 7 + 8 + 3 + 625 + 5 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78362559072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78362559073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11122783 + ... + 11129825.

It is an arithmetic number, because the mean of its divisors is an integer number (1769171040).

Almost surely, 2^78362559072 is an apocalyptic number.

78362559072 is a gapful number since it is divisible by the number (72) 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 78362559072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127380314880).

78362559072 is an abundant number, since it is smaller than the sum of its proper divisors (176398070688).

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

78362559072 is a wasteful number, since it uses less digits than its factorization.

78362559072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 78362559072 in words is "seventy-eight billion, three hundred sixty-two million, five hundred fifty-nine thousand, seventy-two".