72741043514896 has 15 divisors (see below), whose sum is σ = 140935837908621. Its totient is φ = 36370504699776.

The previous prime is 72741043514879. The next prime is 72741043514917. The reversal of 72741043514896 is 69841534014727.

It is a happy number.

The square root of 72741043514896 is 8528836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60600557652496 + 12140485862400 = 7784636^2 + 3484320^2 .

It is a super-3 number, since 3×72741043514896³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 33049240 + ... + 35181448.

It is a 1-persistent number, because it is pandigital, but 2⋅72741043514896 = 145482087029792 is not.

Almost surely, 2^{72741043514896} is an apocalyptic number.

72741043514896 is the 8528836-th square number.

It is an amenable number.

72741043514896 is a deficient number, since it is larger than the sum of its proper divisors (68194794393725).

72741043514896 is an frugal number, since it uses more digits than its factorization.

72741043514896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264426 (or 2132211 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 72741043514896 in words is "seventy-two trillion, seven hundred forty-one billion, forty-three million, five hundred fourteen thousand, eight hundred ninety-six".