72460031760 has 160 divisors (see below), whose sum is σ = 251238562560. Its totient is φ = 19194624000.

The previous prime is 72460031669. The next prime is 72460031767. The reversal of 72460031760 is 6713006427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72460031767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215080 + ... + 437240.

It is an arithmetic number, because the mean of its divisors is an integer number (1570241016).

Almost surely, 2^72460031760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72460031760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125619281280).

72460031760 is an abundant number, since it is smaller than the sum of its proper divisors (178778530800).

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

72460031760 is a wasteful number, since it uses less digits than its factorization.

72460031760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222334 (or 222322 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 72460031760 in words is "seventy-two billion, four hundred sixty million, thirty-one thousand, seven hundred sixty".