73970208 has 144 divisors (see below), whose sum is σ = 236658240. Its totient is φ = 21745152.

The previous prime is 73970207. The next prime is 73970233. The reversal of 73970208 is 80207937.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73970207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85683 + ... + 86541.

It is an arithmetic number, because the mean of its divisors is an integer number (1643460).

Almost surely, 2^73970208 is an apocalyptic number.

73970208 is a gapful number since it is divisible by the number (78) 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 73970208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118329120).

73970208 is an abundant number, since it is smaller than the sum of its proper divisors (162688032).

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

73970208 is a wasteful number, since it uses less digits than its factorization.

73970208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 73970208 is about 8600.5934678951. The cubic root of 73970208 is about 419.7772968995. Note that the first 3 decimals are identical.

The spelling of 73970208 in words is "seventy-three million, nine hundred seventy thousand, two hundred eight".