72444033044427 has 64 divisors (see below), whose sum is σ = 110059971194880. Its totient is φ = 41956306761600.

The previous prime is 72444033044423. The next prime is 72444033044431.

72444033044427 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72444033044423) and next prime (72444033044431).

It is not a de Polignac number, because 72444033044427 - 2² = 72444033044423 is a prime.

It is a super-2 number, since 2×72444033044427² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72444033044423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4214549149 + ... + 4214566337.

It is an arithmetic number, because the mean of its divisors is an integer number (1719687049920).

Almost surely, 2^{72444033044427} is an apocalyptic number.

72444033044427 is a deficient number, since it is larger than the sum of its proper divisors (37615938150453).

72444033044427 is a wasteful number, since it uses less digits than its factorization.

72444033044427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22224.

The product of its (nonzero) digits is 7225344, while the sum is 48.

The spelling of 72444033044427 in words is "seventy-two trillion, four hundred forty-four billion, thirty-three million, forty-four thousand, four hundred twenty-seven".