73278432 has 120 divisors (see below), whose sum is σ = 228324096. Its totient is φ = 22975488.

The previous prime is 73278409. The next prime is 73278467. The reversal of 73278432 is 23487237.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43233 + ... + 44895.

Almost surely, 2^73278432 is an apocalyptic number.

73278432 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 73278432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162048).

73278432 is an abundant number, since it is smaller than the sum of its proper divisors (155045664).

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

73278432 is a wasteful number, since it uses less digits than its factorization.

73278432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1685 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 73278432 is about 8560.2822383377. The cubic root of 73278432 is about 418.4645979226.

The spelling of 73278432 in words is "seventy-three million, two hundred seventy-eight thousand, four hundred thirty-two".