73249135920 has 400 divisors, whose sum is σ = 279448899840. Its totient is φ = 17699793408.

The previous prime is 73249135913. The next prime is 73249135963. The reversal of 73249135920 is 2953194237.

73249135920 is a `hidden beast` number, since 7 + 3 + 2 + 49 + 13 + 592 + 0 = 666.

It is a super-3 number, since 3×73249135920³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2818827 + ... + 2844693.

Almost surely, 2^73249135920 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 73249135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139724449920).

73249135920 is an abundant number, since it is smaller than the sum of its proper divisors (206199763920).

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

73249135920 is a wasteful number, since it uses less digits than its factorization.

73249135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25934 (or 25919 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 73249135920 in words is "seventy-three billion, two hundred forty-nine million, one hundred thirty-five thousand, nine hundred twenty".