72909900 has 216 divisors, whose sum is σ = 266482944. Its totient is φ = 16329600.

The previous prime is 72909871. The next prime is 72909901. The reversal of 72909900 is 990927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72909901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447219 + ... + 447381.

Almost surely, 2^72909900 is an apocalyptic number.

72909900 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 72909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133241472).

72909900 is an abundant number, since it is smaller than the sum of its proper divisors (193573044).

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

72909900 is a wasteful number, since it uses less digits than its factorization.

72909900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 72909900 is about 8538.7294136774. The cubic root of 72909900 is about 417.7619043459.

The spelling of 72909900 in words is "seventy-two million, nine hundred nine thousand, nine hundred".