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72406367 = 1143473257
BaseRepresentation
bin1000101000011…
…01010101011111
312001020121212022
410110031111133
5122014000432
611103530355
71536305165
oct424152537
9161217768
1072406367
1137964a80
12202b99bb
1312001c07
14988b235
156553b12
hex450d55f

72406367 has 16 divisors (see below), whose sum is σ = 82570752. Its totient is φ = 62905920.

The previous prime is 72406363. The next prime is 72406379. The reversal of 72406367 is 76360427.

It is not a de Polignac number, because 72406367 - 22 = 72406363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406363) 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, 20603 + ... + 23859.

It is an arithmetic number, because the mean of its divisors is an integer number (5160672).

Almost surely, 272406367 is an apocalyptic number.

72406367 is a deficient number, since it is larger than the sum of its proper divisors (10164385).

72406367 is a wasteful number, since it uses less digits than its factorization.

72406367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358.

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 72406367 is about 8509.1930874790. The cubic root of 72406367 is about 416.7979610417.

The spelling of 72406367 in words is "seventy-two million, four hundred six thousand, three hundred sixty-seven".

Divisors: 1 11 43 47 473 517 2021 3257 22231 35827 140051 153079 1540561 1683869 6582397 72406367