73625328 has 160 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 20736000.

The previous prime is 73625303. The next prime is 73625411. The reversal of 73625328 is 82352637.

73625328 is a `hidden beast` number, since 7 + 3 + 625 + 3 + 28 = 666.

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).

Its product of digits (60480) is a multiple of the sum of its prime divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 73625292 and 73625301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293203 + ... + 293453.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^73625328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

73625328 is an abundant number, since it is smaller than the sum of its proper divisors (171358992).

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

73625328 is a wasteful number, since it uses less digits than its factorization.

73625328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73625328 is about 8580.5202639467. The cubic root of 73625328 is about 419.1238880035.

The spelling of 73625328 in words is "seventy-three million, six hundred twenty-five thousand, three hundred twenty-eight".