72903476736 has 320 divisors, whose sum is σ = 235887759360. Its totient is φ = 22131671040.

The previous prime is 72903476707. The next prime is 72903476749. The reversal of 72903476736 is 63767430927.

It is a happy number.

72903476736 is a `hidden beast` number, since 7 + 290 + 347 + 6 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7280245 + ... + 7290251.

It is an arithmetic number, because the mean of its divisors is an integer number (737149248).

Almost surely, 2^72903476736 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 72903476736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117943879680).

72903476736 is an abundant number, since it is smaller than the sum of its proper divisors (162984282624).

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

72903476736 is a wasteful number, since it uses less digits than its factorization.

72903476736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10082 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 72903476736 in words is "seventy-two billion, nine hundred three million, four hundred seventy-six thousand, seven hundred thirty-six".