73654272 has 168 divisors, whose sum is σ = 226609656. Its totient is φ = 23887872.

The previous prime is 73654271. The next prime is 73654289. The reversal of 73654272 is 27245637.

It is a happy number.

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

Its product of digits (70560) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73654271) 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, 1990638 + ... + 1990674.

It is an arithmetic number, because the mean of its divisors is an integer number (1348867).

Almost surely, 2^73654272 is an apocalyptic number.

73654272 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 73654272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113304828).

73654272 is an abundant number, since it is smaller than the sum of its proper divisors (152955384).

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

73654272 is an frugal number, since it uses more digits than its factorization.

73654272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 73654272 is about 8582.2067092328. The cubic root of 73654272 is about 419.1788035822.

The spelling of 73654272 in words is "seventy-three million, six hundred fifty-four thousand, two hundred seventy-two".