72459378160 has 80 divisors (see below), whose sum is σ = 182000288736. Its totient is φ = 26669712384.

The previous prime is 72459378157. The next prime is 72459378223. The reversal of 72459378160 is 6187395427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×72459378160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 72459378098 and 72459378107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219787 + ... + 439573.

It is a 2-persistent number, because it is pandigital, and so is 2⋅72459378160 = 144918756320, but 3⋅72459378160 = 217378134480 is not.

Almost surely, 2^72459378160 is an apocalyptic number.

72459378160 is the 219787-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72459378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91000144368).

72459378160 is an abundant number, since it is smaller than the sum of its proper divisors (109540910576).

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

72459378160 is a wasteful number, since it uses less digits than its factorization.

72459378160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220130 (or 220124 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 72459378160 in words is "seventy-two billion, four hundred fifty-nine million, three hundred seventy-eight thousand, one hundred sixty".