72401516134044 has 48 divisors (see below), whose sum is σ = 176288972616960. Its totient is φ = 23083622052480.

The previous prime is 72401516134033. The next prime is 72401516134049. The reversal of 72401516134044 is 44043161510427.

It is a happy number.

It is a super-3 number, since 3×72401516134044³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72401516133987 and 72401516134005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72401516134049) 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, 1736352 + ... + 12158040.

It is an arithmetic number, because the mean of its divisors is an integer number (3672686929520).

Almost surely, 2^{72401516134044} is an apocalyptic number.

It is an amenable number.

72401516134044 is an abundant number, since it is smaller than the sum of its proper divisors (103887456482916).

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

72401516134044 is a wasteful number, since it uses less digits than its factorization.

72401516134044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10446890 (or 10446888 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 72401516134044 in words is "seventy-two trillion, four hundred one billion, five hundred sixteen million, one hundred thirty-four thousand, forty-four".