72863700 has 288 divisors, whose sum is σ = 276482304. Its totient is φ = 14376960.

The previous prime is 72863669. The next prime is 72863729. The reversal of 72863700 is 736827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464022 + ... + 464178.

It is an arithmetic number, because the mean of its divisors is an integer number (960008).

Almost surely, 2^72863700 is an apocalyptic number.

72863700 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 72863700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138241152).

72863700 is an abundant number, since it is smaller than the sum of its proper divisors (203618604).

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

72863700 is a wasteful number, since it uses less digits than its factorization.

72863700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72863700 is about 8536.0236644470. The cubic root of 72863700 is about 417.6736461986.

The spelling of 72863700 in words is "seventy-two million, eight hundred sixty-three thousand, seven hundred".