72783477000 has 1536 divisors, whose sum is σ = 307614827520. Its totient is φ = 15328051200.

The previous prime is 72783476993. The next prime is 72783477029. The reversal of 72783477000 is 77438727.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1692638979 + ... + 1692639021.

It is an arithmetic number, because the mean of its divisors is an integer number (200270070).

Almost surely, 2^72783477000 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 72783477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153807413760).

72783477000 is an abundant number, since it is smaller than the sum of its proper divisors (234831350520).

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

72783477000 is a wasteful number, since it uses less digits than its factorization.

72783477000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 72783477000 in words is "seventy-two billion, seven hundred eighty-three million, four hundred seventy-seven thousand".