72884952 has 144 divisors (see below), whose sum is σ = 233592840. Its totient is φ = 20466432.

The previous prime is 72884951. The next prime is 72884983. The reversal of 72884952 is 25948827.

It is a junction number, because it is equal to n+sod(n) for n = 72884898 and 72884907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72884951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257403 + ... + 257685.

Almost surely, 2^72884952 is an apocalyptic number.

72884952 is a gapful number since it is divisible by the number (72) 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 72884952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116796420).

72884952 is an abundant number, since it is smaller than the sum of its proper divisors (160707888).

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

72884952 is a wasteful number, since it uses less digits than its factorization.

72884952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72884952 is about 8537.2684155999. The cubic root of 72884952 is about 417.7142495786.

The spelling of 72884952 in words is "seventy-two million, eight hundred eighty-four thousand, nine hundred fifty-two".