72495615042816 has 576 divisors, whose sum is σ = 237174222028800. Its totient is φ = 19195443929088.

The previous prime is 72495615042787. The next prime is 72495615042821. The reversal of 72495615042816 is 61824051659427.

It is a super-2 number, since 2×72495615042816² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72495615042816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17085931191 + ... + 17085935433.

Almost surely, 2^{72495615042816} is an apocalyptic number.

72495615042816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72495615042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118587111014400).

72495615042816 is an abundant number, since it is smaller than the sum of its proper divisors (164678606985984).

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

72495615042816 is a wasteful number, since it uses less digits than its factorization.

72495615042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 72495615042816 in words is "seventy-two trillion, four hundred ninety-five billion, six hundred fifteen million, forty-two thousand, eight hundred sixteen".