72877728 has 96 divisors (see below), whose sum is σ = 238533120. Its totient is φ = 18927360.

The previous prime is 72877723. The next prime is 72877729. The reversal of 72877728 is 82777827.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72877728² = 10622326476883968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (72877723) 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, 2463 + ... + 12321.

It is an arithmetic number, because the mean of its divisors is an integer number (2484720).

Almost surely, 2^72877728 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 72877728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119266560).

72877728 is an abundant number, since it is smaller than the sum of its proper divisors (165655392).

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

72877728 is a wasteful number, since it uses less digits than its factorization.

72877728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9882 counting only the distinct ones).

The product of its digits is 614656, while the sum is 48.

The square root of 72877728 is about 8536.8453189688. The cubic root of 72877728 is about 417.7004485247.

Subtracting 72877728 from its reverse (82777827), we obtain a palindrome (9900099).

The spelling of 72877728 in words is "seventy-two million, eight hundred seventy-seven thousand, seven hundred twenty-eight".