72877828 has 24 divisors (see below), whose sum is σ = 132141240. Its totient is φ = 35143680.

The previous prime is 72877817. The next prime is 72877829. The reversal of 72877828 is 82877827.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 71605444 = 1128^2 + 8462^2 .

It is a super-2 number, since 2×72877828² = 10622355627995168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72877829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12100 + ... + 17092.

It is an arithmetic number, because the mean of its divisors is an integer number (5505885).

Almost surely, 2^72877828 is an apocalyptic number.

It is an amenable number.

72877828 is a deficient number, since it is larger than the sum of its proper divisors (59263412).

72877828 is a wasteful number, since it uses less digits than its factorization.

72877828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5125 counting only the distinct ones).

The product of its digits is 702464, while the sum is 49.

The square root of 72877828 is about 8536.8511759313. The cubic root of 72877828 is about 417.7006395754.

Subtracting 72877828 from its reverse (82877827), we obtain a palindrome (9999999).

The spelling of 72877828 in words is "seventy-two million, eight hundred seventy-seven thousand, eight hundred twenty-eight".