72764748 has 72 divisors (see below), whose sum is σ = 211411200. Its totient is φ = 20671200.

The previous prime is 72764717. The next prime is 72764749. The reversal of 72764748 is 84746727.

It is not an unprimeable number, because it can be changed into a prime (72764749) 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, 49423 + ... + 50873.

Almost surely, 2^72764748 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 72764748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105705600).

72764748 is an abundant number, since it is smaller than the sum of its proper divisors (138646452).

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

72764748 is a wasteful number, since it uses less digits than its factorization.

72764748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1662 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 72764748 is about 8530.2255538761. The cubic root of 72764748 is about 417.4844876926.

The spelling of 72764748 in words is "seventy-two million, seven hundred sixty-four thousand, seven hundred forty-eight".