72811648 has 192 divisors, whose sum is σ = 195350400. Its totient is φ = 26707968.

The previous prime is 72811639. The next prime is 72811649. The reversal of 72811648 is 84611827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72811649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549161 + ... + 1549207.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^72811648 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 72811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

72811648 is an abundant number, since it is smaller than the sum of its proper divisors (122538752).

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

72811648 is a wasteful number, since it uses less digits than its factorization.

72811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 72811648 is about 8532.9741591077. The cubic root of 72811648 is about 417.5741639795.

It can be divided in two parts, 728 and 11648, that multiplied together give a square (8479744 = 2912²).

The spelling of 72811648 in words is "seventy-two million, eight hundred eleven thousand, six hundred forty-eight".