72467619840 has 1792 divisors, whose sum is σ = 344247459840. Its totient is φ = 14014218240.

The previous prime is 72467619827. The next prime is 72467619859. The reversal of 72467619840 is 4891676427.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1958584302 + ... + 1958584338.

Almost surely, 2^72467619840 is an apocalyptic number.

72467619840 is a gapful number since it is divisible by the number (70) 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 72467619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172123729920).

72467619840 is an abundant number, since it is smaller than the sum of its proper divisors (271779840000).

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

72467619840 is a wasteful number, since it uses less digits than its factorization.

72467619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 72467619840 in words is "seventy-two billion, four hundred sixty-seven million, six hundred nineteen thousand, eight hundred forty".