72267100 has 36 divisors (see below), whose sum is σ = 157852744. Its totient is φ = 28716480.

The previous prime is 72267077. The next prime is 72267103. The reversal of 72267100 is 176227.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72267103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13399 + ... + 18001.

Almost surely, 2^72267100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72267100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926372).

72267100 is an abundant number, since it is smaller than the sum of its proper divisors (85585644).

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

72267100 is a wasteful number, since it uses less digits than its factorization.

72267100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 72267100 is about 8501.0058228424. The cubic root of 72267100 is about 416.5305653260.

The spelling of 72267100 in words is "seventy-two million, two hundred sixty-seven thousand, one hundred".