73479840 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 15897600.

The previous prime is 73479811. The next prime is 73479841. The reversal of 73479840 is 4897437.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73479792 and 73479801.

It is not an unprimeable number, because it can be changed into a prime (73479841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63265 + ... + 64415.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^73479840 is an apocalyptic number.

73479840 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 73479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

73479840 is an abundant number, since it is smaller than the sum of its proper divisors (205212000).

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

73479840 is a wasteful number, since it uses less digits than its factorization.

73479840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 73479840 is about 8572.0382640303. The cubic root of 73479840 is about 418.8476347672.

The spelling of 73479840 in words is "seventy-three million, four hundred seventy-nine thousand, eight hundred forty".