72863800 has 48 divisors (see below), whose sum is σ = 170692200. Its totient is φ = 28924800.

The previous prime is 72863797. The next prime is 72863807. The reversal of 72863800 is 836827.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72863807) 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, 26490 + ... + 29110.

Almost surely, 2^72863800 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 72863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85346100).

72863800 is an abundant number, since it is smaller than the sum of its proper divisors (97828400).

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

72863800 is a wasteful number, since it uses less digits than its factorization.

72863800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72863800 is about 8536.0295219733. The cubic root of 72863800 is about 417.6738372739.

The spelling of 72863800 in words is "seventy-two million, eight hundred sixty-three thousand, eight hundred".