72046328 has 64 divisors (see below), whose sum is σ = 148473600. Its totient is φ = 32659200.

The previous prime is 72046297. The next prime is 72046333. The reversal of 72046328 is 82364027.

It is a junction number, because it is equal to n+sod(n) for n = 72046294 and 72046303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477053 + ... + 477203.

It is an arithmetic number, because the mean of its divisors is an integer number (2319900).

Almost surely, 2^72046328 is an apocalyptic number.

It is an amenable number.

72046328 is an abundant number, since it is smaller than the sum of its proper divisors (76427272).

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

72046328 is a wasteful number, since it uses less digits than its factorization.

72046328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 72046328 is about 8488.0108388244. The cubic root of 72046328 is about 416.1059733715.

The spelling of 72046328 in words is "seventy-two million, forty-six thousand, three hundred twenty-eight".