72366100 has 18 divisors (see below), whose sum is σ = 157034654. Its totient is φ = 28946400.

The previous prime is 72366089. The next prime is 72366101. The reversal of 72366100 is 166327.

It can be written as a sum of positive squares in 3 ways, for example, as 9449476 + 62916624 = 3074^2 + 7932^2 .

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 (72366101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361731 + ... + 361930.

Almost surely, 2^72366100 is an apocalyptic number.

It is an amenable number.

72366100 is an abundant number, since it is smaller than the sum of its proper divisors (84668554).

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

72366100 is a wasteful number, since it uses less digits than its factorization.

72366100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723675 (or 723668 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 72366100 is about 8506.8266703866. The cubic root of 72366100 is about 416.7206827749.

The spelling of 72366100 in words is "seventy-two million, three hundred sixty-six thousand, one hundred".