72105625722000 has 160 divisors (see below), whose sum is σ = 250350732777600. Its totient is φ = 17749077081600.

The previous prime is 72105625721989. The next prime is 72105625722007. The reversal of 72105625722000 is 22752650127.

It is a super-2 number, since 2×72105625722000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72105625722000.

It is not an unprimeable number, because it can be changed into a prime (72105625722007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462137550 + ... + 462293549.

It is an arithmetic number, because the mean of its divisors is an integer number (1564692079860).

Almost surely, 2^{72105625722000} is an apocalyptic number.

It is an amenable number.

72105625722000 is an abundant number, since it is smaller than the sum of its proper divisors (178245107055600).

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

72105625722000 is a wasteful number, since it uses less digits than its factorization.

72105625722000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924431138 (or 924431122 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 72105625722000 in words is "seventy-two trillion, one hundred five billion, six hundred twenty-five million, seven hundred twenty-two thousand".