72488511408 has 30 divisors (see below), whose sum is σ = 187266806692. Its totient is φ = 24162215360.

The previous prime is 72488511401. The next prime is 72488511443. The reversal of 72488511408 is 80411588427.

It is a super-2 number, since 2×72488511408² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72488511401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1845898 + ... + 1884758.

Almost surely, 2^72488511408 is an apocalyptic number.

It is an amenable number.

72488511408 is an abundant number, since it is smaller than the sum of its proper divisors (114778295284).

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

72488511408 is an frugal number, since it uses more digits than its factorization.

72488511408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77733 (or 38866 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

Multiplying 72488511408 by its sum of digits (48), we get a square (3479448547584 = 1865328²).

72488511408 divided by its sum of digits (48) gives a square (1510177321 = 38861²).

The spelling of 72488511408 in words is "seventy-two billion, four hundred eighty-eight million, five hundred eleven thousand, four hundred eight".