72132051744 has 192 divisors, whose sum is σ = 227445321600. Its totient is φ = 22162719744.

The previous prime is 72132051743. The next prime is 72132051751. The reversal of 72132051744 is 44715023127.

72132051744 is a `hidden beast` number, since 7 + 2 + 132 + 0 + 517 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72132051699 and 72132051708.

It is not an unprimeable number, because it can be changed into a prime (72132051743) 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, 548014 + ... + 666770.

It is an arithmetic number, because the mean of its divisors is an integer number (1184611050).

Almost surely, 2^72132051744 is an apocalyptic number.

72132051744 is a gapful number since it is divisible by the number (74) 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 72132051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113722660800).

72132051744 is an abundant number, since it is smaller than the sum of its proper divisors (155313269856).

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

72132051744 is a wasteful number, since it uses less digits than its factorization.

72132051744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118832 (or 118818 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72132051744 in words is "seventy-two billion, one hundred thirty-two million, fifty-one thousand, seven hundred forty-four".