72075528864816 has 160 divisors (see below), whose sum is σ = 206048511426240. Its totient is φ = 21607133872128.

The previous prime is 72075528864809. The next prime is 72075528864839. The reversal of 72075528864816 is 61846882557027.

It is a super-2 number, since 2×72075528864816² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13404531 + ... + 17995346.

It is an arithmetic number, because the mean of its divisors is an integer number (1287803196414).

Almost surely, 2^{72075528864816} is an apocalyptic number.

It is an amenable number.

72075528864816 is an abundant number, since it is smaller than the sum of its proper divisors (133972982561424).

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

72075528864816 is a wasteful number, since it uses less digits than its factorization.

72075528864816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31400031 (or 31400025 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 69.

The spelling of 72075528864816 in words is "seventy-two trillion, seventy-five billion, five hundred twenty-eight million, eight hundred sixty-four thousand, eight hundred sixteen".