72673452 has 36 divisors (see below), whose sum is σ = 183999816. Its totient is φ = 24185280.

The previous prime is 72673451. The next prime is 72673457. The reversal of 72673452 is 25437627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (72673451) 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, 28552 + ... + 30992.

It is an arithmetic number, because the mean of its divisors is an integer number (5111106).

Almost surely, 2^72673452 is an apocalyptic number.

It is an amenable number.

72673452 is an abundant number, since it is smaller than the sum of its proper divisors (111326364).

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

72673452 is a wasteful number, since it uses less digits than its factorization.

72673452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3273 counting only the distinct ones).

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

The square root of 72673452 is about 8524.8725503670. The cubic root of 72673452 is about 417.3098123796.

The spelling of 72673452 in words is "seventy-two million, six hundred seventy-three thousand, four hundred fifty-two".