72378401 has 16 divisors (see below), whose sum is σ = 82145664. Its totient is φ = 63385344.

The previous prime is 72378379. The next prime is 72378431. The reversal of 72378401 is 10487327.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72378401 - 2¹⁰ = 72377377 is a prime.

It is a super-5 number, since 5×72378401⁵ (a number of 40 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72378431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11966 + ... + 16968.

It is an arithmetic number, because the mean of its divisors is an integer number (5134104).

Almost surely, 2^72378401 is an apocalyptic number.

It is an amenable number.

72378401 is a deficient number, since it is larger than the sum of its proper divisors (9767263).

72378401 is a wasteful number, since it uses less digits than its factorization.

72378401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 72378401 is about 8507.5496472251. The cubic root of 72378401 is about 416.7442932348.

The spelling of 72378401 in words is "seventy-two million, three hundred seventy-eight thousand, four hundred one".