72788100 has 288 divisors, whose sum is σ = 275982336. Its totient is φ = 14361600.

The previous prime is 72788099. The next prime is 72788113. The reversal of 72788100 is 188727.

It is a super-2 number, since 2×72788100² = 10596215003220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531232 + ... + 531368.

It is an arithmetic number, because the mean of its divisors is an integer number (958272).

Almost surely, 2^72788100 is an apocalyptic number.

72788100 is a gapful number since it is divisible by the number (70) 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 72788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137991168).

72788100 is an abundant number, since it is smaller than the sum of its proper divisors (203194236).

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

72788100 is a wasteful number, since it uses less digits than its factorization.

72788100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 72788100 is about 8531.5942238248. The cubic root of 72788100 is about 417.5291432678.

The spelling of 72788100 in words is "seventy-two million, seven hundred eighty-eight thousand, one hundred".