72511712 has 96 divisors (see below), whose sum is σ = 180718272. Its totient is φ = 27869184.

The previous prime is 72511711. The next prime is 72511723. The reversal of 72511712 is 21711527.

It is a Cunningham number, because it is equal to 417³-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72511711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107408 + ... + 108080.

It is an arithmetic number, because the mean of its divisors is an integer number (1882482).

Almost surely, 2^72511712 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 72511712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90359136).

72511712 is an abundant number, since it is smaller than the sum of its proper divisors (108206560).

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

72511712 is a wasteful number, since it uses less digits than its factorization.

72511712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its digits is 980, while the sum is 26.

The square root of 72511712 is about 8515.3809075108. The cubic root of 72511712 is about 416.9999980831. Note that the first 5 decimals are identical.

The spelling of 72511712 in words is "seventy-two million, five hundred eleven thousand, seven hundred twelve".