72685000080 has 2400 divisors, whose sum is σ = 362069326080. Its totient is φ = 13138329600.

The previous prime is 72685000079. The next prime is 72685000081. The reversal of 72685000080 is 8000058627.

72685000080 is a `hidden beast` number, since 72 + 6 + 8 + 500 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (72685000079) and next prime (72685000081).

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

It is a junction number, because it is equal to n+sod(n) for n = 72684999999 and 72685000044.

It is not an unprimeable number, because it can be changed into a prime (72685000081) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1772804860 + ... + 1772804900.

Almost surely, 2^72685000080 is an apocalyptic number.

72685000080 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 72685000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181034663040).

72685000080 is an abundant number, since it is smaller than the sum of its proper divisors (289384326000).

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

72685000080 is a wasteful number, since it uses less digits than its factorization.

72685000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 72685000080 in words is "seventy-two billion, six hundred eighty-five million, eighty", and thus it is an aban number.