72643788 has 144 divisors (see below), whose sum is σ = 229791744. Its totient is φ = 18869760.

The previous prime is 72643787. The next prime is 72643789. The reversal of 72643788 is 88734627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72643787) and next prime (72643789).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72643787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132531 + ... + 133077.

It is an arithmetic number, because the mean of its divisors is an integer number (1595776).

Almost surely, 2^72643788 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 72643788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114895872).

72643788 is an abundant number, since it is smaller than the sum of its proper divisors (157147956).

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

72643788 is a wasteful number, since it uses less digits than its factorization.

72643788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 607 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 72643788 is about 8523.1325227290. The cubic root of 72643788 is about 417.2530251915.

The spelling of 72643788 in words is "seventy-two million, six hundred forty-three thousand, seven hundred eighty-eight".