72389100 has 72 divisors (see below), whose sum is σ = 239373568. Its totient is φ = 16545600.

The previous prime is 72389087. The next prime is 72389113. The reversal of 72389100 is 198327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72389087) and next prime (72389113).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15136 + ... + 19335.

Almost surely, 2^72389100 is an apocalyptic number.

72389100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72389100 is an abundant number, since it is smaller than the sum of its proper divisors (166984468).

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

72389100 is a wasteful number, since it uses less digits than its factorization.

72389100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34495 (or 34488 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 72389100 is about 8508.1784184395. The cubic root of 72389100 is about 416.7648266510.

The spelling of 72389100 in words is "seventy-two million, three hundred eighty-nine thousand, one hundred".