72764832 has 192 divisors, whose sum is σ = 237081600. Its totient is φ = 19077120.

The previous prime is 72764821. The next prime is 72764837. The reversal of 72764832 is 23846727.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72764837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523419 + ... + 523557.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^72764832 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 72764832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

72764832 is an abundant number, since it is smaller than the sum of its proper divisors (164316768).

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

72764832 is a wasteful number, since it uses less digits than its factorization.

72764832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 72764832 is about 8530.2304775428. The cubic root of 72764832 is about 417.4846483413.

The spelling of 72764832 in words is "seventy-two million, seven hundred sixty-four thousand, eight hundred thirty-two".