73476480 has 384 divisors, whose sum is σ = 301397760. Its totient is φ = 15052800.

The previous prime is 73476443. The next prime is 73476503. The reversal of 73476480 is 8467437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×73476480² = 10797586226380800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034845 + ... + 1034915.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 2^73476480 is an apocalyptic number.

73476480 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 73476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

73476480 is an abundant number, since it is smaller than the sum of its proper divisors (227921280).

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

73476480 is a wasteful number, since it uses less digits than its factorization.

73476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 73476480 is about 8571.8422757305. The cubic root of 73476480 is about 418.8412504786.

The spelling of 73476480 in words is "seventy-three million, four hundred seventy-six thousand, four hundred eighty".