72253164571614 has 256 divisors, whose sum is σ = 176864530268160. Its totient is φ = 21729440557440.

The previous prime is 72253164571507. The next prime is 72253164571649. The reversal of 72253164571614 is 41617546135227.

72253164571614 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 3 + 1 + 6 + 4 + 571 + 61 + 4 = 666.

It is a super-2 number, since 2×72253164571614² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10172200387 + ... + 10172207489.

It is an arithmetic number, because the mean of its divisors is an integer number (690877071360).

Almost surely, 2^{72253164571614} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72253164571614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88432265134080).

72253164571614 is an abundant number, since it is smaller than the sum of its proper divisors (104611365696546).

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

72253164571614 is a wasteful number, since it uses less digits than its factorization.

72253164571614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8926 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 72253164571614 in words is "seventy-two trillion, two hundred fifty-three billion, one hundred sixty-four million, five hundred seventy-one thousand, six hundred fourteen".