72571668 has 48 divisors (see below), whose sum is σ = 184443840. Its totient is φ = 22074624.

The previous prime is 72571663. The next prime is 72571669. The reversal of 72571668 is 86617527.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72571661) 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, 11271 + ... + 16497.

It is an arithmetic number, because the mean of its divisors is an integer number (3842580).

Almost surely, 2^72571668 is an apocalyptic number.

72571668 is a gapful number since it is divisible by the number (78) 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 72571668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92221920).

72571668 is an abundant number, since it is smaller than the sum of its proper divisors (111872172).

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

72571668 is a wasteful number, since it uses less digits than its factorization.

72571668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5334 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 72571668 is about 8518.9006332977. The cubic root of 72571668 is about 417.1148979777.

The spelling of 72571668 in words is "seventy-two million, five hundred seventy-one thousand, six hundred sixty-eight".