73623690 has 96 divisors (see below), whose sum is σ = 228324096. Its totient is φ = 16093440.

The previous prime is 73623653. The next prime is 73623691. The reversal of 73623690 is 9632637.

It is a super-2 number, since 2×73623690² = 10840895458432200, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (73623691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11950 + ... + 17030.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2^73623690 is an apocalyptic number.

73623690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73623690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162048).

73623690 is an abundant number, since it is smaller than the sum of its proper divisors (154700406).

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

73623690 is a wasteful number, since it uses less digits than its factorization.

73623690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 73623690 is about 8580.4248146581. The cubic root of 73623690 is about 419.1207797887.

The spelling of 73623690 in words is "seventy-three million, six hundred twenty-three thousand, six hundred ninety".