72783900 has 144 divisors (see below), whose sum is σ = 267482880. Its totient is φ = 16632000.

The previous prime is 72783899. The next prime is 72783913. The reversal of 72783900 is 938727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16975 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (1857520).

Almost surely, 2^72783900 is an apocalyptic number.

72783900 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 72783900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133741440).

72783900 is an abundant number, since it is smaller than the sum of its proper divisors (194698980).

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

72783900 is a wasteful number, since it uses less digits than its factorization.

72783900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72783900 is about 8531.3480763593. The cubic root of 72783900 is about 417.5211123941.

The spelling of 72783900 in words is "seventy-two million, seven hundred eighty-three thousand, nine hundred".