87306393072 has 80 divisors (see below), whose sum is σ = 226519787520. Its totient is φ = 28976121600.

The previous prime is 87306393067. The next prime is 87306393073. The reversal of 87306393072 is 27039360378.

It is a happy number.

It is a super-3 number, since 3×87306393072³ (a number of 34 digits) contains 333 as substring.

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 (87306393073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15955297 + ... + 15960767.

It is an arithmetic number, because the mean of its divisors is an integer number (2831497344).

Almost surely, 2^87306393072 is an apocalyptic number.

It is an amenable number.

87306393072 is an abundant number, since it is smaller than the sum of its proper divisors (139213394448).

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

87306393072 is a wasteful number, since it uses less digits than its factorization.

87306393072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 87306393072 in words is "eighty-seven billion, three hundred six million, three hundred ninety-three thousand, seventy-two".