72677880 has 96 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 17617920.

The previous prime is 72677849. The next prime is 72677881. The reversal of 72677880 is 8877627.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72677881) 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, 5217 + ... + 13136.

Almost surely, 2^72677880 is an apocalyptic number.

It is an amenable number.

72677880 is an abundant number, since it is smaller than the sum of its proper divisors (185012280).

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

72677880 is a wasteful number, since it uses less digits than its factorization.

72677880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18381 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 72677880 is about 8525.1322570386. The cubic root of 72677880 is about 417.3182877824.

It can be divided in two parts, 726 and 77880, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 72677880 in words is "seventy-two million, six hundred seventy-seven thousand, eight hundred eighty".