72075769920 has 1680 divisors, whose sum is σ = 333549955200. Its totient is φ = 14753249280.

The previous prime is 72075769903. The next prime is 72075769937. The reversal of 72075769920 is 2996757027.

It is an interprime number because it is at equal distance from previous prime (72075769903) and next prime (72075769937).

It is a tau number, because it is divible by the number of its divisors (1680).

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

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, 1075757727 + ... + 1075757793.

It is an arithmetic number, because the mean of its divisors is an integer number (198541640).

Almost surely, 2^72075769920 is an apocalyptic number.

72075769920 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 72075769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166774977600).

72075769920 is an abundant number, since it is smaller than the sum of its proper divisors (261474185280).

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

72075769920 is a wasteful number, since it uses less digits than its factorization.

72075769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 72075769920 in words is "seventy-two billion, seventy-five million, seven hundred sixty-nine thousand, nine hundred twenty".