72798227040 has 576 divisors, whose sum is σ = 290389059072. Its totient is φ = 15004999680.

The previous prime is 72798227017. The next prime is 72798227041. The reversal of 72798227040 is 4072289727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72798227041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55698067 + ... + 55699373.

It is an arithmetic number, because the mean of its divisors is an integer number (504147672).

Almost surely, 2^72798227040 is an apocalyptic number.

72798227040 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 72798227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145194529536).

72798227040 is an abundant number, since it is smaller than the sum of its proper divisors (217590832032).

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

72798227040 is a wasteful number, since it uses less digits than its factorization.

72798227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 72798227040 in words is "seventy-two billion, seven hundred ninety-eight million, two hundred twenty-seven thousand, forty".