72725677627 has 8 divisors (see below), whose sum is σ = 72778612592. Its totient is φ = 72672768000.

The previous prime is 72725677597. The next prime is 72725677657. The reversal of 72725677627 is 72677652727.

It is an interprime number because it is at equal distance from previous prime (72725677597) and next prime (72725677657).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72725677627 - 2⁷ = 72725677499 is a prime.

It is a super-2 number, since 2×72725677627² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72725677657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15145627 + ... + 15150427.

It is an arithmetic number, because the mean of its divisors is an integer number (9097326574).

Almost surely, 2^72725677627 is an apocalyptic number.

72725677627 is a deficient number, since it is larger than the sum of its proper divisors (52934965).

72725677627 is a wasteful number, since it uses less digits than its factorization.

72725677627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12669.

The product of its digits is 24202080, while the sum is 58.

Subtracting from 72725677627 its reverse (72677652727), we obtain a triangular number (48024900 = T₉₈₀₀).

The spelling of 72725677627 in words is "seventy-two billion, seven hundred twenty-five million, six hundred seventy-seven thousand, six hundred twenty-seven".