72378100 has 36 divisors (see below), whose sum is σ = 158607904. Its totient is φ = 28666080.

The previous prime is 72378083. The next prime is 72378101. The reversal of 72378100 is 187327.

It is a happy number.

It is a super-2 number, since 2×72378100² = 10477178719220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72378101) 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, 6787 + ... + 13813.

Almost surely, 2^72378100 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 72378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79303952).

72378100 is an abundant number, since it is smaller than the sum of its proper divisors (86229804).

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

72378100 is a wasteful number, since it uses less digits than its factorization.

72378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 72378100 is about 8507.5319570367. The cubic root of 72378100 is about 416.7437155292.

The spelling of 72378100 in words is "seventy-two million, three hundred seventy-eight thousand, one hundred".