72427723830 has 480 divisors, whose sum is σ = 246246073920. Its totient is φ = 14951692800.

The previous prime is 72427723817. The next prime is 72427723843. The reversal of 72427723830 is 3832772427.

It is an interprime number because it is at equal distance from previous prime (72427723817) and next prime (72427723843).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 157109800 + ... + 157110260.

It is an arithmetic number, because the mean of its divisors is an integer number (513012654).

Almost surely, 2^72427723830 is an apocalyptic number.

72427723830 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72427723830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123123036960).

72427723830 is an abundant number, since it is smaller than the sum of its proper divisors (173818350090).

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

72427723830 is a wasteful number, since it uses less digits than its factorization.

72427723830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 72427723830 in words is "seventy-two billion, four hundred twenty-seven million, seven hundred twenty-three thousand, eight hundred thirty".