72662175656672 has 96 divisors (see below), whose sum is σ = 167033968819200. Its totient is φ = 30466391155200.

The previous prime is 72662175656663. The next prime is 72662175656677. The reversal of 72662175656672 is 27665657126627.

It is a super-2 number, since 2×72662175656672² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72662175656677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25482047 + ... + 28189697.

It is an arithmetic number, because the mean of its divisors is an integer number (1739937175200).

Almost surely, 2^{72662175656672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72662175656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83516984409600).

72662175656672 is an abundant number, since it is smaller than the sum of its proper divisors (94371793162528).

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

72662175656672 is a wasteful number, since it uses less digits than its factorization.

72662175656672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710264 (or 2710256 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 68.

The spelling of 72662175656672 in words is "seventy-two trillion, six hundred sixty-two billion, one hundred seventy-five million, six hundred fifty-six thousand, six hundred seventy-two".