73612035072 has 264 divisors, whose sum is σ = 222791549760. Its totient is φ = 23365140480.

The previous prime is 73612035061. The next prime is 73612035109. The reversal of 73612035072 is 27053021637.

73612035072 is a `hidden beast` number, since 7 + 3 + 612 + 0 + 35 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57018747 + ... + 57020037.

Almost surely, 2^73612035072 is an apocalyptic number.

73612035072 is a gapful number since it is divisible by the number (72) 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 73612035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111395774880).

73612035072 is an abundant number, since it is smaller than the sum of its proper divisors (149179514688).

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

73612035072 is a wasteful number, since it uses less digits than its factorization.

73612035072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 73612035072 in words is "seventy-three billion, six hundred twelve million, thirty-five thousand, seventy-two".