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73087992 = 23321277993
BaseRepresentation
bin1000101101100…
…11101111111000
312002112020212200
410112303233320
5122202303432
611130310200
71545144345
oct426635770
9162466780
1073087992
11382900aa
1220588360
13121b0243
1499c77cc
15663aa7c
hex45b3bf8

73087992 has 48 divisors (see below), whose sum is σ = 199530240. Its totient is φ = 24167808.

The previous prime is 73087991. The next prime is 73087999. The reversal of 73087992 is 29978037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73087991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5148 + ... + 13140.

It is an arithmetic number, because the mean of its divisors is an integer number (4156880).

Almost surely, 273087992 is an apocalyptic number.

73087992 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 73087992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99765120).

73087992 is an abundant number, since it is smaller than the sum of its proper divisors (126442248).

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

73087992 is a wasteful number, since it uses less digits than its factorization.

73087992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 73087992 is about 8549.1515368486. The cubic root of 73087992 is about 418.1017738645.

Adding to 73087992 its sum of digits (45), we get a palindrome (73088037).

The spelling of 73087992 in words is "seventy-three million, eighty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 7993 9144 15986 23979 31972 47958 63944 71937 95916 143874 191832 287748 575496 1015111 2030222 3045333 4060444 6090666 8120888 9135999 12181332 18271998 24362664 36543996 73087992