72677511357066 has 48 divisors (see below), whose sum is σ = 196323667046208. Its totient is φ = 18877275676800.

The previous prime is 72677511357043. The next prime is 72677511357109. The reversal of 72677511357066 is 66075311577627.

72677511357066 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 7 + 51 + 1 + 3 + 570 + 6 + 6 = 666.

72677511357066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×72677511357066⁵ (a number of 71 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 72677511356994 and 72677511357012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26218437055 + ... + 26218439826.

It is an arithmetic number, because the mean of its divisors is an integer number (4090076396796).

Almost surely, 2^{72677511357066} is an apocalyptic number.

72677511357066 is an abundant number, since it is smaller than the sum of its proper divisors (123646155689142).

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

72677511357066 is a wasteful number, since it uses less digits than its factorization.

72677511357066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52436876907 (or 52436876904 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 72677511357066 in words is "seventy-two trillion, six hundred seventy-seven billion, five hundred eleven million, three hundred fifty-seven thousand, sixty-six".